Free Printable Alg 3 quiz review

1.

Find the local maximum and minimum

a)

Local max at x = -3

Local min at x = -3

b)

Local max at x = 1

Local min at x = -3

c)

Local max at x = -3

Local min at x = 1

d)

$\left(-\infty,\ \infty\right)$

2.

Identify the local minimum

a)

x = 8

b)

x = 4

c)

$\infty$

d)

x = 2

3.

Identify the global (or absolute) maximum.

a)

-2

b)

1

c)

$\infty$

d)

$-\infty$

4.

What is the location of the absolute maximum for the graphed function?

a)

x = 1

b)

x = 3

c)

x = 4

d)

x = 5

e)

Does Not Exist

5.

What is the value of the absolute minimum for the following function?

f\left(x\right)=\left(x-2\right)^2-4

a)

x = -4

b)

x = 0

c)

x = 2

d)

x = 4

e)

Does Not Exist

6.

What is the location of the relative maximum within the given interval of the graphed function?

-5\le x\le0

a)

x = -4

b)

x = -2

c)

x = 0

d)

x = 3

e)

Does Not Exist

7.

What are the extrema of the graph?

a)

Max = (2, -3), (1, 2)

Min = (-3, -1), (-1, 4)

b)

Max = (-3, -1), (-1, 4)

Min = (2, -3), (1, 2)

c)

Max = (-1, -3), (4, -1)

Min = (-3, 2), (2, 1)

d)

Max = (-3, 2), (2, 1)

Min = (-1, -3), (4, -1)

8.

How many extrema are there in this graph?

a)

2 max, 2 min

b)

3 max, 2 min

c)

2 man, 3 min

d)

3 increasing intervals, 2 decreasing intervals

e)

2 increasing intervals, 3 decreasing intervals

9.

How many extrema (max and mins) are in the picture?

a)

2

b)

3

c)

4

d)

5

10.

What is the relative max?

a)

x = 0

b)

x = -2.55

c)

(-∞, ∞)

d)

None

11.

Over what interval(s) is f(x) increasing? (Be careful this is a graph of f'!)

a)

(-∞, -3) ∪ (1, ∞)

b)

(-3, 1)

c)

(-5, 0) ∪ (2, ∞)

d)

(-5, ∞)

12.

What is the decreasing interval on the function shown?

a)

$\left(-\infty,\ 1\right)$

b)

$\left(-\infty,\ 2\right)$

c)

$\left(2,\ \infty\right)$

d)

$\left(1,\ \infty\right)$

13.

What is the increasing interval on the function shown?

a)

$\left(-\infty,\ 1\right)$

b)

$\left(-\infty,\ 2\right)$

c)

$\left(2,\ \infty\right)$

d)

$\left(1,\ \infty\right)$

14.

Where is the function decreasing?

a)

$\left(-\infty,-1\right)$

b)

$\left(-1,\infty\right)$

c)

$\left(-\infty,3\right)$

d)

$\left(3,\infty\right)$

15.

Where is the function increasing?

a)

\left(1,\infty\right)

b)

$\left(2,\infty\right)$

c)

$\left(-\infty,1\right)$

d)

$\left(-\infty,2\right)$

16.

f(x) = x²-12x+35

What are the intervals of increasing and decreasing for this function?

a)

Increasing: (6 ,∞)

b)

Decreasing: (6 ,∞)

c)

Increasing: (-∞ ,6)

d)

Decreasing: (-∞ ,6)

17.

f(x) = -x²-4x-7

What are the intervals of increasing and decreasing for this function?

a)

Increasing: ( -2, +∞)

b)

Decreasing: ( -2 , +∞)

c)

Increasing: (-∞,-2)

d)

Decreasing: (-∞ ,2)

18.

What is the extrema for this function?

a)

Max; (-2,-1)

b)

Min; (-2,-1)

c)

Max; (-2,1)

d)

Min; (-2,1)

19.

What is the extrema for this function?

a)

Max; (-1,4)

b)

Min; (-1,4)

c)

Max; (0,3)

d)

Min; (0,3)

20.

A roller coaster park is open from May to October each year. The graph shows the number of park visitors each day over the course of its season.

Describe what Segment 1 means in the context of this situation?

a)

The attendance during the first weeks of May was constant (the same number of people visited each day).

b)

The attendance increased very quickly over this period of time.

c)

The attendance decreases over this period of time.

d)

The attendance increases slowly and comes to a peak at the end of this period of time.

21.

A roller coaster park is open from May to October each year. The graph shows the number of park visitors each day over the course of its season.

Describe what Segment 2 shows in this context.

a)

The attendance during the first weeks of May was constant (the same number of people visited each day).

b)

The attendance increased very quickly over this period of time.

c)

The attendance decreases over this period of time.

d)

The attendance increases slowly and comes to a peak at the end of this period of time.

22.

A roller coaster park is open from May to October each year. The graph shows the number of park visitors each day over the course of its season.

What happens during segment 3?

a)

The attendance during the first weeks of May was constant (the same number of people visited each day).

b)

The attendance increased very quickly over this period of time.

c)

The attendance decreases over this period of time.

d)

The attendance increases slowly and comes to a peak at the end of this period of time.

23.

A roller coaster park is open from May to October each year. The graph shows the number of park visitors each day over the course of its season.

What happens during segments 4 and 5?

a)

The attendance during the first weeks of May was constant (the same number of people visited each day).

b)

The attendance increased very quickly over this period of time.

c)

The attendance decreases over this period of time.

d)

The attendance increases slowly and comes to a peak at the end of this period of time.

24.

Oliver is hiking a trail that takes him straight up a mountain. He starts his hike at 8 am at the base of the mountain. The distance, d, in miles, that Oliver is from the base of the mountain t hours after starting his hike is shown in the graph.

Between what times is the slope of the graph positive?

a)

The slope of the graph is positive between x = 0 and x = 3 and also between x = 5 and x = 7

b)

The slope is positive between x = 3 and x = 5

25.

Oliver is hiking a trail that takes him straight up a mountain. He starts his hike at 8 am at the base of the mountain. The distance, d, in miles, that Oliver is from the base of the mountain t hours after starting his hike is shown in the graph.

What does it mean to have a positive slope in this context?

a)

Oliver is hiking up the mountain

b)

Oliver is hiking down the mountain

c)

Oliver is taking a break from hiking

26.

Oliver is hiking a trail that takes him straight up a mountain. He starts his hike at 8 am at the base of the mountain. The distance, d, in miles, that Oliver is from the base of the mountain t hours after starting his hike is shown in the graph.

What does it mean to have a 0 slope in this context? (between x = 3 and x = 5 the slope is 0)

a)

Oliver is hiking up the mountain

b)

Oliver is hiking down the mountain

c)

Oliver is taking a break from hiking

27.

Antonio and Juan are in a 4-mile bike race. The graph shows the distance of each racer, in miles, as a function of time, in minutes.

Who wins the race? How do you know?

a)

Juan because he gets to 4 miles first (x = 13)

b)

Antonio because he gets to 4 miles first (x = 15)

c)

they tie because they both get to 4 miles at the same time

28.

The figure below gives the depth of the water at Montauk Point, New York, for a day in November.

How many high tides took place on this day?

a)

1

b)

2

c)

3

d)

0

29.

The figure below gives the depth of the water at Montauk Point, New York, for a day in November.

How many LOW tides took place on this day?

a)

1

b)

2

c)

3

d)

0

30.

What is the slope of a line parallel to the line $-2x+y=-7$

a)

-2

b)

-1/2

c)

1/2

d)

2

31.

$y=\frac{-2}{3}x+2$ and $y=\frac{3}{2}x+9$

a)

Parallel

b)

Perpendicular

c)

Neither

32.

$-6x+y=2$ and $6x+y=2$

a)

Parallel

b)

Perpendicular

c)

Neither

33.

$y=3x+2$ and $y=3x-3$
These lines are...

a)

the same line

b)

perpendicular

c)

neither

d)

parallel

34.

Are the lines given by the equations parallel, perpendicular, or neither?

$y=-\frac{7}{4}x+8$

y=\frac{7}{4}x-9

a)

Parallel

b)

Perpendicular

c)

Neither

35.

Write an equation that is parallel to -4x + 2y = 10 and passes through the point (2, -1)

a)

y = 2x + 5

b)

y = 5/2 + 5x

c)

y = 2x - 5

d)

y = -2x + 3

36.

Write an equation that is parallel to

3x + 3y = 12 and passes through the point (3, 4)

a)

y = -x + 7

b)

y = -3 - x

c)

y = x + 1

d)

y = -x/3

37.

Write an equation that is perpendicular to 4x – 3y = 6 and passes through the point (8, -3)

a)

y = -3/4x + 4

b)

y = -2x + 13

c)

y = -3/4x + 3

d)

y = -2x - 3

38.

Write an equation that is perpendicular to y = 2 and passes through the point (3, -1)

a)

x = -1

b)

y = x

c)

x = 3

d)

y = -5

39.

Write an equation that is parallel to x = 5 and passes through the point (3, -1)

a)

x = 3

b)

y = x

c)

y = -1

d)

x = -5

40.

Are the lines given by the equations parallel, perpendicular, or neither?

$y=-\frac{7}{4}x+8$

y=\frac{7}{4}x-9

a)

Parallel

b)

Perpendicular

c)

Neither

41.

Are the lines given by the equations parallel, perpendicular, or neither?

$y=-\frac{1}{2}x+10$

y=-2x-7

a)

Parallel

b)

Perpendicular

c)

Neither

42.

Are the lines given by the equations parallel, perpendicular, or neither?

$y=-\frac{3}{4}x+13$

y=\frac{4}{3}x-8

a)

Parallel

b)

Perpendicular

c)

Neither

43.

Are the lines given by the equations parallel, perpendicular, or neither?

$y=\frac{3}{8}x+12$

y=\frac{8}{3}x+4

a)

Parallel

b)

Perpendicular

c)

Neither

44.

Are the lines given by the equations parallel, perpendicular, or neither?

$y=-\frac{3}{4}x+1$

y=-\frac{3}{4}x+9

a)

Parallel

b)

Perpendicular

c)

Neither

45.

Are the lines given by the equations parallel, perpendicular, or neither?

$y=\frac{1}{2}x-8$

y=\frac{1}{2}x-9

a)

Parallel

b)

Perpendicular

c)

Neither

46.

Are the lines given by the equations parallel, perpendicular, or neither?

$y=-3x+6$

y=-3x-20

a)

Parallel

b)

Perpendicular

c)

Neither

47.

Are the lines given by the equations parallel, perpendicular, or neither?

$y=-\frac{7}{6}x-19$

y=\frac{6}{7}x+3

a)

Parallel

b)

Perpendicular

c)

Neither

48.

Are the lines given by the equations parallel, perpendicular, or neither?

$y=x-6$

y=x+21

a)

Parallel

b)

Perpendicular

c)

Neither

49.

Are the lines given by the equations parallel, perpendicular, or neither?

$y=4x+1$

y=-4x-9

a)

Parallel

b)

Perpendicular

c)

Neither

50.

Are the lines given by the equations parallel, perpendicular, or neither?

$y=-7x-2$

y=-\frac{1}{7}x-2

a)

Parallel

b)

Perpendicular

c)

Neither

51.

Are the lines given by the equations parallel, perpendicular, or neither?

$y=-x-5$

y=x+10

a)

Parallel

b)

Perpendicular

c)

Neither

52.

Are the lines given by the equations parallel, perpendicular, or neither?

$y=12x-1$

y=12x-4

a)

Parallel

b)

Perpendicular

c)

Neither

53.

Are the lines given by the equations parallel, perpendicular, or neither?

$y=\frac{1}{2}x+6$

y=\frac{1}{2}x-1

a)

Parallel

b)

Perpendicular

c)

Neither

54.

Are the lines given by the equations parallel, perpendicular, or neither?

$y=\frac{4}{5}x+4$

y=-\frac{5}{4}x-2

a)

Parallel

b)

Perpendicular

c)

Neither

55.

Write the equation that best matches the graph shown.

a)

y = 4x

b)

y = 4x - 3

c)

y = 4/3 x + 4

d)

y = 4/3 x - 3

56.

What is the equation of this line in slope-intercept form?

a)

y = 2x + 5

b)

y = -2x + 5

c)

y = -2x

d)

y = 5

57.

Write the equation of the line that passes through the point (4, -2) and has a slope of -1/2.

a)

y = -1/2x + 3

b)

y = -1/2x

c)

y = -1/2x + 4

d)

y = -1/2x - 4

58.

Write a linear function that has a slope of -2 and passes through the point (-3, 4).

a)

f(x) = -2x - 2

b)

f(x) = -2x + 4

c)

f(x) = =2x + 3

d)

f(x) = -2x + 2

59.

Given the table, write the equation in the slope-intercept form.

a)

y = 1/3x + 6

b)

y = 3x + 6

c)

y = 2x + 6

d)

y = 1/2x + 6

60.

Write the equation in slope-intercept form: 5x - 2y = 12

a)

y = 5/2x - 6

b)

y = -5/2x - 6

c)

y = 5x +12

d)

y = -5x + 12

61.

Write the equation of a line with a slope of -4 and a y-intercept of (0, 1)

a)

y = -4x + 1

b)

y = 1x - 4

c)

y = -1x + 4

d)

y = 4x - 1

62.

What is the slope-intercept form of a line?

a)

Ax + By = C

b)

y = mx + b

c)

y - y1 = m(x - x1)

d)

y = Ax + By

63.

What is standard form of a line?

a)

y = mx + b

b)

Ax + By = C

c)

y - y1 = m(x - x1)

d)

y = Ax + By

64.

What is the point slope form of a line?

a)

Ax + By = C

b)

y = mx + b

c)

y - y1 = m(x - x1)

d)

y = Ax + By

65.

Write the equation in point-slope form of the line that passes through the given point and has the given slope:
(-2, -1); m= -3

a)

y + 1 = -3(x - 2)

b)

y + 1 = -3(x + 2)

c)

y - 1 = 3(x - 1)

d)

y + 2 = -3(x + 1)

66.

Write the equation of the line with slope -2 through the point (7, −1).

a)

y = −2x + 15

b)

y = −2x − 15

c)

y = −2x + 13

d)

y = −2x − 13

67.

What is the point given in the following equation?
y-2= 3(x+1)

a)

(1,3)

b)

(-1,2)

c)

(1,-2)

d)

(-2,1)

68.

Write the point-slope form of the equation of the line through the given point with the given slope.

through: (4, 1), slope = -1

a)

y - 4 = x - 1

b)

y + 1 = -(x +4)

c)

y - 1 = -(x + 4)

d)

y - 1 = -(x - 4)

69.

Choose the inequality that best matches the graph.

a)

b)

c)

d)

70.

Choose the inequality that best matches the graph.

a)

b)

c)

d)

71.

Choose the inequality that best matches the graph.

a)

b)

c)

d)

72.

Write the equation in point-slope form for the line that contains the points

(-2, -3), (4, 3)

a)

y - 3 = 1(x - 2)

b)

y + 3 = 1(x + 2)

c)

y -3 = -1(x + 2)

d)

y + 3 = -1(x - 2)

73.

Write the equation of the line in Point-Slope Form.

a)

y = -3/4(x - 2)

b)

y - 2 = 3/5(x - 5)

c)

y = 3/5x - 1

d)

y - 5 = 3/5(x - 2)

74.

Given the table, what is the equation of the line in point slope form?

a)

y - 12 = ½(x - 6)

b)

y - 4 = ½(x - 8)

c)

y + 2 = ½(x + 4)

d)

y + 6 = ½(x +12)

75.

Solve
4m² - 100 = 0

a)

m=25, -25

b)

m=96

c)

m=5, -5

d)

m=-96

76.

Solve
a² + 2a - 24 = 0

a)

a = -6, 4

b)

a = 6, -4

c)

a = 12, -2

d)

a = 8, -3

77.

Solve 3x² - 192 = 0

a)

-32 or 32

b)

No Solution

c)

-8 or 8

d)

-64 or 64

78.

What are the zeros?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

79.

True or false:
The solutions, roots, x-intercepts, and zeros of a quadratic equation are all the same thing.

a)

True

b)

False, because the solution and root are the same but the x-intercept and zero are different

c)

False, because the x-intercept and root are the same but the zero and solution are different

d)

False, they are all different

80.

Find the zeros of the equation:
(x+10)(x-2) = 0

a)

10 and 2

b)

-2 and 10

c)

-10 and 2

d)

-2 and -10

81.

Solve
2x² + 17x + 21 = 0

a)

x= ^-21/₂, -17

b)

x= ²/₃, 16

c)

x=-7, ^-3/₂

d)

x=15, -³/₇

82.

x² + 44 = -15x

a)

{-8, 2}

b)

{-7, 5}

c)

{-11, -4}

d)

{-11}

83.

Solve using Zero-Product Property
(x-11)(5x+1) = 0

a)

x = 11 or x = -1/5

b)

x = -11 or x = -1/5

c)

x = 11 or x = 1/5

d)

x = -11 or x = 1/5

84.

What are the solutions/zeros/x-intercepts/roots?

(When does this quadratic =0?)

SELECT ALL THAT APPLY

a)

x = -4

b)

x = -1

c)

x = 0

d)

x = 2

85.

Solve
4m² - 100 = 0

a)

m=25, -25

b)

m=96

c)

m=5, -5

d)

m=-96

86.

Solve
a² + 2a - 24 = 0

a)

a = -6, 4

b)

a = 6, -4

c)

a = 12, -2

d)

a = 8, -3

87.

Determine the values of
a, b, and c for
the quadratic equation:
4x² – 8x = 3

a)

a = 4, b = -8, c = 3

b)

a = 4, b =-8, c =-3

c)

a = 4, b = 8, c = 3

d)

a = 4, b = 8, c = -3

88.

Convert x²-6x+9 to factored form and identify the solution.

a)

(x-3)(x-3); x=3

b)

(x+3)(x+3); x=-3

c)

(x+4)(x+2); x=-4, -2

d)

Not factorable

89.

Convert x²-9x+20 to factored form and solve.

a)

(x-10)(x+2); x=-2, 10

b)

(x+4)(x+5); x=-5, -4

c)

(x-4)(x-5); x=4, 5

d)

Not factorable

90.

Find the expression equivalent to (x-1)(x-9)

a)

x²+9

b)

x²-10x+9

c)

x²-10x-9

d)

x²+10x+9

91.

Solve 3x² - 192 = 0

a)

-32 or 32

b)

No Solution

c)

-8 or 8

d)

-64 or 64

92.

Identify the a, b and c values for this equation:
3x² - 8x + 15 = 0

a)

a=3, b=8, c=0

b)

a=3, b=-8, c=15

c)

a=3, b=8, c=15

93.

Which of the following equations matches standard form of a quadratic?

a)

ax + by = c

b)

y = a(x - h)² + k

c)

y = ax² + bx + c

d)

y = mx + b

94.

What are the zeros?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

95.

What are the solutions of this graph?

a)

-2 and 3

b)

-1/2 and -6

c)

-2 and -6

d)

3 and -6

96.

True or false:
The solutions, roots, x-intercepts, and zeros of a quadratic equation are all the same thing.

a)

True

b)

False, because the solution and root are the same but the x-intercept and zero are different

c)

False, because the x-intercept and root are the same but the zero and solution are different

d)

False, they are all different

97.

Find the zeros of the equation:
(x+10)(x-2) = 0

a)

10 and 2

b)

-2 and 10

c)

-10 and 2

d)

-2 and -10

98.

Solve the following quadratics equation by completing the square...

x² + 4x + 1 = 0

a)

x = -2 ± √3

b)

x = -3 ± √2

c)

x = 2 ± √3

d)

x = 2 ± √2

99.

Solve the following quadratics equation by completing the square...

x² - 6x + 2 = 0

a)

x = -3 ± √7

b)

x = 3 ± √7

c)

x = 7 ± √3

d)

x = -7 ± √3

100.

Solve the following quadratics equation by completing the square...

x² + 2x - 5 = 0

a)

x = -1 ± √6

b)

x = 1 ± √6

c)

x = 6 ± √1

d)

x = -6 ± √1

101.

Which equation shows $x^2+8x+9=0$ after the method of completing the square has been applied?

a)

$\left(x+2\right)^2=-5$

b)

$\left(x+4\right)^2=7$

c)

$\left(x+8\right)^2=55$

d)

$x^2=-\left(8x+9\right)$

102.

What do you do to the b value to correctly complete the square?

a)

square it

b)

divide it by 2 and square the result

c)

divide it by 2 and take the square root of the result

d)

divide it by 2 only

103.

What is the first step to solving THIS equation by completing the square?
a² + 10a + 21 = 0

a)

Set the equation equal to zero

b)

Divide 10 by 2 and add the result to both sides

c)

Add a² and 10a together

d)

Subtract the 21

104.

When factoring
x² - 4x + 4 = 20,
what goes in the blank?
(x - __ )² = 20

a)

4

b)

2

c)

8

d)

20

105.

What should you do first in solving this equation?
x² + 6x - 13 = 3

a)

Get factored form

b)

Write down: a=1, b=6, c=-13

c)

Make it equal 0 by subtracting 3 on each side

d)

Type it all in a calculator.

106.

Convert x²-6x+9 to factored form and identify the solution.

a)

(x-3)(x-3); x=3

b)

(x+3)(x+3); x=-3

c)

(x+4)(x+2); x=-4, -2

d)

Not factorable

107.

Determine the values of
a, b, and c for
the quadratic equation:
4x² – 8x = 3

a)

a = 4, b = -8, c = 3

b)

a = 4, b =-8, c =-3

c)

a = 4, b = 8, c = 3

d)

a = 4, b = 8, c = -3

108.

Convert x²-9x+20 to factored form and solve.

a)

(x-10)(x+2); x=-2, 10

b)

(x+4)(x+5); x=-5, -4

c)

(x-4)(x-5); x=4, 5

d)

Not factorable

109.

Solve by factoring

a)

A

b)

B

c)

C

d)

D

110.

solve:
4x²+16x+15=0

a)

-5/2,-3/2

b)

(2x+5)(2x+3)

c)

-10,-6

d)

5/2, 3/2

111.

Solve by taking square roots:
4m² - 100 = 0

a)

m=25, -25

b)

m=96

c)

m=5, -5

d)

m=-96

112.

Find the expression equivalent to (x-1)(x-9)

a)

x²+9

b)

x²-10x+9

c)

x²-10x-9

d)

x²+10x+9

113.

Solve
(4a + 3)(4a - 3) = 0

a)

a = ^-3/₄, ³/₄

b)

a = ^-4/₃, ⁴/₃

c)

a = ^-9/₁₆, ⁹/₁₆

d)

a = ^-16/₉, ¹⁶/₉

114.

What is another word for zeros?

a)

y-intercepts

b)

roots

c)

vertex

d)

axis of symmetry

115.

Solve 3x² - 192 = 0

a)

-32 or 32

b)

No Solution

c)

-8 or 8

d)

-64 or 64

116.

Solve:
X² - 3 =6X + 10

a)

X = 7, -1

b)

X = -7, 1

c)

X = -7, -1

d)

No Solution

117.

Solve in any method

a)

A

b)

B

c)

C

d)

D

118.

Identify the a, b and c values for this equation:
3x² - 8x + 15 = 0

a)

a=3, b=8, c=0

b)

a=3, b=-8, c=15

c)

a=3, b=8, c=15

119.

y = 2x^2 -x -3 factors into

a)

(2x+3)(x-1)

b)

(2x-3)(x-1)

c)

(2x-3)(x+1)

d)

(2x+3)(x+1)

120.

Solve for y:

\frac{4}{3}y\ +1=-14

a)

$y=-21$

b)

$y=-12$

c)

$y=-16$

d)

$y=4$

121.

Solve for x:

$\frac{x-4}{3}=2$

a)

x = 10

b)

x = 18

c)

x = 2

d)

x = -2

122.

Solve for x.

$6\ \ =\ \ \frac{x}{4}\ +\ 2$

a)

x = 16

b)

x = 0

c)

x = 4

d)

x = 1

e)

x = 8

123.

Level 3

Solve for w

a)

w = 2

b)

w = 4

c)

w = 6

d)

w = 8

124.

$\frac{\left(a-7\right)}{6}+14=20$

a)

$a=25$

b)

$a=30$

c)

$a=32$

d)

$a=29$

125.

$x+2\left(2x+3\right)-1=\frac{1}{2}\left(4x+28\right)$

a)

$x=12$

b)

$x=3$

c)

$x=7$

d)

$x=9$

126.

$\frac{b}{10}+25\ =\ -15$

a)

$b=-350$

b)

$b=-250$

c)

$b=110$

d)

$b=-360$

127.

The function shown in the graph is:

a)

even

b)

odd

c)

neither even nor odd

d)

both even and odd

128.

The function in the graph is:

a)

even

b)

odd

c)

neither even nor odd

d)

both even and odd

129.

The function shown in the graph is:

a)

even

b)

odd

c)

neither odd nor even

d)

both odd and even

130.

Is the graph an even, odd, or neither function.

a)

Even

b)

Odd

c)

Neither

131.

Is the graph an even, odd, or neither function?

a)

Even

b)

Odd

c)

Neither

132.

Is the graph an even, odd, or neither function

a)

Even

b)

Odd

c)

Neither

133.

Is the graph an even, odd, or neither function?

a)

Even

b)

Odd

c)

Neither

134.

Is the graph an even, odd, or neither function?

a)

Even

b)

Odd

c)

Neither

135.

Even, odd, or neither?

a)

Even

b)

Odd

c)

Neither

136.

Identify the type of symmetry based on the graph:

i. symmetric with respect to the x-axis

ii. symmetric with respect to the y-axis

iii. symmetric with respect to the origin

a)

i only

b)

ii only

c)

iii only

d)

i, ii, and iii

137.

The function shown in the graph is:

a)

even

b)

odd

c)

neither odd nor even

d)

both odd and even

138.

Which classification is given to a function that exhibits symmetry over the y-axis?

a)

odd

b)

even

139.

Which classification is given to a function that exhibits symmetry over the origin?

a)

odd

b)

even

140.

Use the symmetry tests to determine tif the given function is odd, even, or neither: $f\left(x\right)=\frac{x^4-2}{\left|x\right|}$

a)

odd

b)

even

c)

neither

141.

Use the symmetry tests to determine tif the given function is odd, even, or neither: $f\left(x\right)=x^5+1$

a)

odd

b)

even

c)

neither

142.

Is this an even, odd, or neither function?

f(x) = x⁴ + x²

a)

Even

b)

Odd

c)

Neither

143.

$y=7x^8-9x^2+33$

a)

Even Function

b)

Odd Function

c)

Function - neither even nor odd

d)

Not a function

144.

$y=8x^{12}-8x^4+6x+22$

a)

Even Function

b)

Odd Function

c)

Function - neither even nor odd

d)

Not a function

145.

$y=12x^7+6x^5-8x^3+4x$

a)

Even Function

b)

Odd Function

c)

Function - neither even nor odd

d)

Not a function

146.

$y=\frac{3x^4}{\sqrt{x^2-7}}$

a)

Even Function

b)

Odd Function

c)

Function - neither even nor odd

d)

Not a function

147.

$y=\frac{x^3+x}{3x^2-4}$

a)

Even Function

b)

Odd Function

c)

Function - neither even nor odd

d)

Not a function

148.

A function, f(x), creates a solution set of ordered pairs {(x₁,y₁), (x₂,y₂), (x₃,y₃)...} that are usually described by an equation. A test for symmetry creates the same solution and equation by substituting a particular combination of + or - x and y.
What is the test for origin symmetry?

a)

(x,y) <-> (-x, -y)

b)

(x,y) <-> (-x, y)

c)

(x,y) <-> (x, -y)

d)

(x,y) <-> (y,x)

149.

A function, f(x), creates a solution set of ordered pairs {(x₁,y₁), (x₂,y₂), (x₃,y₃)...} that are usually described by an equation. A test for symmetry creates the same solution and equation by substituting a particular combination of + or - x and y.
What is the test for x-axis symmetry?

a)

(x,y) <-> (-x, -y)

b)

(x,y) <-> (-x, y)

c)

(x,y) <-> (x, -y)

d)

(x,y) <-> (y,x)

150.

Is the graph an even, odd, or neither function
f(x) = x² + 2

a)

Even

b)

Odd

c)

Neither

151.

Is the graph an even, odd, or neither function
f(x) = (x+4)² - 1

a)

Even

b)

Odd

c)

Neither

152.

Is the graph even, odd, both or neither?

f(x) = 4x

a)

Even

b)

Odd

c)

Neither

d)

Both

153.

Is the graph an even, odd, or neither function
f(x) = 4x³

a)

Even

b)

Odd

c)

Neither

154.

a)

All real numbers

b)

[0, ∞)

c)

(-∞, 0) U (0, ∞)

d)

(-∞, 0]

155.

$f\left(x\right)=\frac{1}{x-5}$ Find the domain of

a)

$\left(-\infty,5\right)U\left(5,\infty\right)$

b)

$\left[5,\infty\right)$

c)

$\left(-\infty,5\right]$

d)

$\left(-\infty,\infty\right)$

156.

Write the domain of $f\left(x\right)=\frac{x}{x^2-16}$

a)

$\left(-\infty,0\right)U\left(4,\infty\right)$

b)

$\left[4,\infty\right)$

c)

$\left(-\infty,0\right)U\left(0,4\right]$

d)

$\left(-\infty,-4\right)U\left(-4,4\right)U\left(4,\infty\right)$

157.

Find the domain of $g\left(x\right)=\sqrt{2x-4}$

a)

$\left(-\infty,2\right)\left(2,\infty\right)$

b)

$\left[2,\infty\right)$

c)

$\left(-\infty,2\right]$

d)

$\left(-\infty,\frac{1}{2}\right)\left(\frac{1}{2},\infty\right)$

158.

Find the domain of $f\left(x\right)=\frac{1}{\sqrt{x-5}}$

a)

$\left(-\infty,5\right]$

b)

$\left(-\infty,5\right)\left(5,\infty\right)$

c)

$\left(5,\infty\right)$

d)

$\left[5,\infty\right)$

159.

$y=x^2+3x+9$

a)

Even Function

b)

Odd Function

c)

Neither

160.

Even, odd, or neither?

a)

Even

b)

Odd

c)

Neither

161.

Is the function even, odd, or neither?

f(x) = 4x³

a)

Even

b)

Odd

c)

Neither

162.

Is this an even, odd, or neither function?

f(x) = x⁴ + x²

a)

Even

b)

Odd

c)

Neither

163.

The function in the graph is:

a)

Even

b)

Odd

c)

Neither

164.

Which one of the following functions is odd?

a)

f(x) = 3x⁴ - 4x³

b)

g(x) = 5x⁴ + 3x²

c)

h(x) = 6x⁵ - x³

d)

k(x) = x⁶ + 8x²

165.

Which one of the following functions is neither even or odd?

a)

f(x) = x⁴ + x³

b)

g(x) = x⁴ + x²

c)

h(x) = x⁵ + x³

d)

k(x) = x³ + x

166.

Is the graph an even, odd, or neither function?

a)

Even

b)

Odd

c)

Neither

167.

Find the domain of each function.

f\left(x\right)=\frac{3x}{x+3}

a)

$x\ne3$

b)

$x\ne0$

c)

$x\ne-3$

d)

$x\ne\frac{1}{3}$

168.

Find the domain of each function.

f\left(x\right)=\frac{x}{x^2-121}

a)

$x\ne11$

b)

$x\ne\pm11$

c)

$x\ne-11$

d)

$x\ne121$

169.

Find the domain of each function.

f\left(x\right)=\frac{8x-6}{x-64}

a)

$x\ne64$

b)

$x\ne\pm8$

c)

$x\ne-64$

d)

$x\ne-8$

170.

Find the domain of each function.

f\left(x\right)=\frac{\sqrt{x+1}}{x^2-49}

a)

$x\ne7$

b)

$x\ge-1$

c)

$x\ge-1;\ x\ne\pm7$

d)

$x\ge-1;\ x\ne7$

171.

Find the domain of each function.

f\left(x\right)=\frac{\sqrt{2x+8}}{x-5}

a)

$x\ne-5$

b)

$x\ge-4$

c)

$x\ge-4;\ x\ne5$

d)

$x\ge-4;\ x\ne\pm5$

172.

Find the domain of each function.

f\left(x\right)=\frac{\sqrt{x-4}}{x^2-16}

a)

$x\ne\pm4$

b)

$x>4$

c)

$x\ge4;\ x\ne4$

d)

$x\ge4;\ x\ne\pm4$

173.

Find the domain of each function.

f\left(x\right)=\frac{\sqrt{x-5}}{x-5}

a)

$x>5$

b)

$x\ne-5$

c)

$x\ge5;\ x\ne5$

d)

$x\ge5;\ x\ne\pm5$

174.

Find the domain of each function.

f\left(x\right)=\sqrt{3x-21}

a)

$x\ge21$

b)

$x\ge3$

c)

$x\ge7$

d)

$x\ge24$

175.

Find the domain of each function.

f\left(x\right)=\sqrt{8x}

a)

$x\ge8$

b)

$x\ge0$

c)

$x\ge8x$

d)

$x\ge4$

176.

Find the domain of each function.

f\left(x\right)=\sqrt{5x+40}

a)

$x\ge-8$

b)

$x\ge0$

c)

$x\ge5$

d)

$x\ge40$

177.

The name of all the possible inputs of a function:

a)

Domain

b)

Range

178.

The name of all of the possible outputs of a function:

a)

Domain

b)

Range

179.

Name this Function:

a)

Linear

b)

Quadratic

c)

Absolute Value

d)

Cubed Root

180.

Name this Function:

a)

Constant

b)

Quadratic

c)

Absolute Value

d)

Cubed Root

181.

Name this Function:

a)

Constant

b)

Quadratic

c)

Square Root

d)

Cubed Root

182.

Name this Function:

a)

Constant

b)

Linear

c)

Simple Rational

d)

Cubic

183.

Name this Function:

a)

Constant

b)

Linear

c)

Simple Rational

d)

Cubic

184.

Name this Function:

a)

Constant

b)

Linear

c)

Simple Rational

d)

Cubic

185.

Name this Function:

a)

Constant

b)

Linear

c)

Simple Rational

d)

Cubic

186.

Name this Function:

a)

Constant

b)

Quadratic

c)

Absolute Value

d)

Cubed Root

187.

Find the domain of the function. $f\left(x\right)=\frac{3x}{x^2-121}$

a)

$\left\{x\ne-6,5\right\}$

b)

$\left\{x\ne121\right\}$

c)

$\left\{x\ne11\right\}$

d)

$\left\{x\ne-11,11\right\}$

188.

State the domain restrictions.

a)

x ≠ -2

b)

x ≠ 2, 1

c)

x ≠ 2, -1

d)

x ≠ -2, 2, 1

189.

State the domain restrictions.

a)

x ≠ 3, -2, 6, -1

b)

x ≠ -1, 6

c)

x ≠ 3, -2

d)

No Domain Restrictions

190.

Find the excluded value(s).

a)

n = 0

b)

n = 24

c)

n = -24

d)

n can be any real number

191.

Find the excluded value(s).

a)

a = 0

b)

a = 10

c)

a = 1

d)

a = -1

192.

Find the excluded value(s).

a)

v = 5

b)

v = 10

c)

v = -25

d)

v = -5

193.

What are the domain restrictions of the following rational expression:

a)

x ≠ 4

b)

x ≠ -4, 4

c)

x ≠ -16, 16

d)

x ≠ 0, 4

194.

What value(s) make the expression undefined?

a)

x = - 3 and x = 4

b)

x = 3 and x = - 4

c)

x = 3 only

d)

x = - 4 only

195.

State the excluded (undefined) values for the given expression.

a)

8, -10

b)

8, 9

c)

-8, 10

d)

-8, -9

196.

What is an excluded value?

a)

A value that makes the denominator equal to 0

b)

A number that makes the numerator equal to 0

c)

The solution

d)

An ostracized number

197.

Which value of x makes the expression undefined?

a)

3

b)

-2

c)

-3

d)

5

198.

What is the non-permissible value of this rational expression.

a)

0 and 2

b)

2 and 3

c)

0 and 1.5

d)

1.5 and -1.5

199.

For which value is the expression undefined?

a)

-4

b)

-3

c)

3

d)

0

200.

State the excluded values. x ≠ ?

a)

A

b)

B

c)

C

d)

D

201.

State the excluded values. x ≠ ?

a)

A

b)

B

c)

C

d)

D

202.

Determine the excluded values.

a)

x = 0, 3

b)

x = 0, -3

c)

x = 0, -3, 5

d)

x = 0, 3, 5

203.

Determine the excluded values.

a)

x = 5, -1

b)

x = -5, 1

c)

x = 5, 1

d)

x = -5, -1

204.

Determine the excluded value.

a)

x = 6

b)

x = 0

c)

x = -6

d)

x = -6, 9

205.

Determine the excluded values.

a)

x = 0

b)

x = 2, 6

c)

x = -2, -6

d)

x = 0, -2, -6

206.

the set of all possible y-values

a)

Domain

b)

Range

c)

Interval Notation

d)

Inequality Notation

207.

the set of all possible x-values

a)

Domain

b)

Range

c)

Interval Notation

d)

Inequality Notation

208.

When identifying domain and range what symbol(s) is used when the value is not included?

a)

( )

b)

[ ]

c)

≤ ≥

d)

{ }

209.

What is the range in inequality notation?

a)

( -4 , 4 )

b)

[ 1 , -3 )

c)

-4 < x < 4

d)

1 ≥ y > -3

210.

What is the domain in inequality notation?

a)

( -4 , 4 )

b)

[ 1 , -3 )

c)

-4 < x < 4

d)

1 ≥ y > -3

211.

What is the range in inequality notation?

a)

[ -2 , 2 )

b)

( 5 , 1 ]

c)

-2 ≤ x < 2

d)

5 > y ≥ 1

212.

What is the domain in inequality notation?

a)

[ -2 , 2 )

b)

( 5 , 1 ]

c)

-2 ≤ x < 2

d)

5 > y ≥ 1

213.

What is the range in inequality notation?

a)

( -5 , 5 )

b)

[-2 , -4 )

c)

-5 < x < 5

d)

-2 ≥ y > -4

214.

What is the domain in inequality notation?

a)

( -5 , 5 )

b)

[-2 , -4 )

c)

-5 < x < 5

d)

-2 ≥ y > -4

215.

What is the range in inequality notation?

a)

[ -2 , 2 ]

b)

[ 4 , -4 ]

c)

-2 ≤ x ≤ 2

d)

4 ≥ y ≥ -4

216.

What is the domain in inequality notation?

a)

[ -2 , 2 ]

b)

[ 4 , -4 ]

c)

-2 ≤ x ≤ 2

d)

4 ≥ y ≥ -4

217.

What is the Domain?

a)

-3 < x ≤ 3

b)

-4 ≤ x < 5

c)

-4 ≤ y ≤ 5

d)

-3 < y ≤ 3

218.

Is the relation a function? Why.

a)

Yes, because the x-value 11 has two y-values pair with it.

b)

Yes, because each x-value has only one y-value paired with it.

c)

No, because the x-value 11 has two y-values pair with it.

d)

No, because each x-value has only one y-value paired with it.

219.

What is the Domain of this linear function?

a)

-3 < x ≤ 5

b)

x = -1

c)

5 < x ≤ -3

d)

-2 < x ≤ 6

220.

What is the range?

a)

{-3, -1, 2, 4}

b)

{0, 4, 7}

c)

{0, 4, 4, 7}

d)

{7, 4, 0}

221.

Identify the domain of the following relation:

a)

{-6, 14, 2, 28}

b)

{(-6,14), (0,32), (2,38), (4,44)}

c)

{-6, 0, 2, 4}

d)

{14, 32, 38, 44}

222.

What is the range of the following relation:
(9, -2) (4, 3) ( 8, 10) ( -4, 8)

a)

{-4, 4, 8, 9}

b)

{-2, 3, 8, 10}

c)

{(9, -2) ( 4, 3)}

d)

{(8, 10) (-4, 8)}

223.

a)

{1, 2, 3, 4, 5}

b)

{-1, 1, 2, 3}

c)

{1, 2, 3, 5}

d)

[1, 5]

224.

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

a)

D: {1, -3, -4,}
R: {0, 1, 2, -4}

b)

D: {-4, 0, 1, 2}
R:{-4, -3, 1}

c)

D: {0, 1, 2, 3, 4}
R:{1, -3, -4}

d)

D: {0, 1, 2, -4}
R: {1, -3, -4, 1}

Alg 3 quiz review

Total questions: 224

Worksheet time: 21hrs 51mins

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