Free Printable Review for Test 3

1.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

2.

Is the graph pictured a function?

a)

Yes

b)

No

3.

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}

4.

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)}

5.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

6.

Does the graph represent a function?

a)

No

b)

Yes

7.

Which graph is not a function?

a)

Graph A

b)

Graph B

c)

Graph C

d)

Graph D

8.

What is the domain of the graph?

a)

{-4, -2, -2, 1, 1, 3}

b)

{-4, -2, -2, 1, 3}

c)

{-2, 1}

d)

{-4, -2, 1, 3}

9.

f(x) = 3x² + 7x and g(x) = 2x² - x - 1, find (f - g)(x).

a)

x² + 8x + 1

b)

x² + 6x - 1

c)

5x² + 8x - 1

d)

x² + 8x -1

10.

Given $f\left(x\right)=3x^2-2x+1$ and $g\left(x\right)=x-4$ , find $\left(f\times g\right)\left(x\right)$

a)

$3x^3-10x^2-7x-4$

b)

$3x^3-14x^2+9x-4$

c)

$3x^2-x-3$

d)

$3x^3+14x^2-9x-4$

11.

Given $f(x)=x^2+5$ and $g(x)=2x^3-1$ , find $\left(\frac{f}{g}\right)\left(-3\right)$ .

a)

-14/55

b)

14/55

c)

2

d)

-2

12.

Find f(3) + g(2) if f(x)= x+2 and g(x)=5x-1

(a)

13.

Find $(f-g)(2)$ if $f(x)=4x+10$ and $g(x)=3x-7$

(a)

14.

Given f(x) = 3x² + 7x and g(x) = 2x² - x - 1, find (f + g)(x).

a)

11x² - 1

b)

5x⁴ + 6x² - 1

c)

5x² + 6x - 1

d)

5x² + 8x - 1

15.

Find f(2)

a)

5

b)

4

c)

3

d)

0

16.

Find f(-1)

a)

-3

b)

15

c)

19

d)

17

17.

a)

A

b)

B

c)

C

d)

D

18.

a)

A

b)

B

c)

C

d)

D

19.

All of the x values or inputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

20.

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}

21.

Which mapping diagram is not a function?

a)

b)

c)

d)

22.

A pizza shop sells pizza for $7.50 each plus $1.25 per topping. The total price of the pizzas can be determined by the function P(t) = 7.5 + 1.25t, where te is the number of toppings orders and P(t) is the total price of the pizza. The shop has a delivery policy that all orders must have a minimum of 2 toppings and maximum of 8 toppings for a delivery. Which inequality represents the range of the situation?

a)

2 ≤ P(t) ≤ 8

b)

0 ≤ P(t) ≤ 8

c)

10 ≤ P(t) ≤ 17.50

d)

0 ≤ P(t) ≤ 17.50

23.

All of the y values or outputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

24.

Domain of the function $f\left(x\right)=5x^4+3x^3+4x+7$

a)

$\left[0,\infty\right)$

b)

R because f is a polynomial function

c)

$\left(0,\infty\right)$

d)

none of these

25.

Domain of the function $f\left(x\right)=\ \left|3x-1\right|$

a)

$\left[0,\infty\right)$ because f is a modulus function

b)

All real numbers because f is a modulus function

c)

[0,1] because f is defined for these values of x.

d)

none of these

26.

Domain of the function f(x) = [x-2] where [ ] is greatest integer function is

a)

All integers

b)

All natural numbers

c)

All real numbers

d)

Non negative numbers

27.

Domain of $f\left(x\right)=\sqrt{x+2}\ \ is$

a)

$\left[0,\infty\right)$

b)

$\left(0,\infty\right)$

c)

All real numbers

d)

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

28.

Domain of $f\left(x\right)=\sqrt{x^2-4}\ \ is$

a)

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

b)

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

c)

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

d)

$\left[0,\infty\right)$

29.

$f\left(x\right)=\sqrt{25-x^2}\ \$
Domain of f(x) is

a)

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

b)

$\left[0,\infty\right)$

c)

All real numbers

d)

$\left[-5,5\right]$

30.

$f\left(x\right)=\ \frac{1}{\sqrt{49-x^2}}\ \$
Domain of f(x) is

a)

$\left(0,\infty\right)$

b)

[-6,6]

c)

(-7,7)

d)

[-7,7]

31.

$f\left(x\right)=\frac{1}{x-2}\ is\$ Domain of

a)

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

b)

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

c)

All real numbers

d)

$R-\left\{2\right\}$

32.

$f\left(x\right)=\sqrt{\left(x-3\right)\left(x-5\right)}\ is$ domain of

a)

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

b)

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

c)

$\left(-\infty,3\right]\cup\left[5,\infty\right)$

d)

All real numbers

33.

$f\left(x\right)=\sqrt{x-3}\sqrt{x-5}\ \ \ is$ Domain of

a)

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

b)

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

c)

[3,5]

d)

$\left(-\infty,3\right]\cup\left[5,\infty\right)$

34.

Write a quadratic equation given the x intercepts and one other point.

Step 1: Write the factors.

The intercepts of this function are (6, 0) and (8, 0). Write the factors.

a)

(x-6) and (x-8)

b)

(x+6) and (x+8)

c)

(x-6) and (x+8)

d)

(x+6) and (x-8)

35.

Write a quadratic equation given the x intercepts and one other point.

Step 2: Find a.

Now that you know that the factors are (x-6) and (x-8), you must find a. Plug the coordinates of the vertex (7, 1) in for x and y and solve for a.

y = a(x-6)(x-8)

What is the value of a?

a)

a = 1

b)

a = -1

c)

a = 7

d)

a = -7

36.

Write a quadratic equation given the x intercepts and one other point.

Step 3: Write the equation in factored form.

Now, you know that the factors are (x-6) and (x-8) and a = -1. Write the equation of the graph in factored form.

a)

-(x-6)(x-8)

b)

-(x+6)(x+8)

c)

(x-6)(x+8)

d)

(x+6)(x-8)

37.

Now, take the factored form and write it in Standard Form (ax²+bx+c=0) by double distributing (or FOIL).

-(x-6)(x-8)=0

a)

x²+2x-15=0

b)

-x²+14x -48=0

c)

- x²+8x-15=0

d)

x² + 5x -16=0

38.

Write a quadratic equation given the x intercepts and one other point.

Put the steps together.

Find the factors.
Solve for a by substituting in the extra point.
Write the equation in factored form.

The roots of the function are (-3, 0) and (5, 0).

The point (4, -3) is also on the graph.

a)

y=4(x+3)(x-5)

b)

y=3/7(x-3)(x+5)

c)

y=-3(x-3)(x+5)

d)

y=3/7(x+3)(x-5)

39.

Write a quadratic equation in vertex form given the vertex and another point.

Substitute the coordinates of the vertex (1, -4) in for h and k.

Vertex form: y=a(x-h)²+k

a)

(x+1)²-4=y

b)

(x-1)²-4=y

c)

(x + 1)(x - 3)=y

d)

x2 +2x - 3=y

40.

Convert this equation in vertex form to standard form.

(x-1)² -1

a)

x² -2x - 2

b)

x²+x-2

c)

x²+2

d)

x²-2x

41.

Review: What are the vertex and axis of symmetry for the given graph?

a)

Vertex (1, -4) Axis of Symmetry: x=1

b)

Vertex (1, -4) Axis of Symmetry x = -4

c)

Vertex (-4, 1) Axis of Symmetry x=-4

d)

Vertex (-4, 1) Axis of Symmetry x = 1

42.

Which parabola would open down?

a)

f(x)=x²

b)

f(x)=-x²+3x-6

c)

f(x) = x²-16

d)

f(x)=2x²-5x+7

43.

Use any method (graph, factor, complete the square, quadratic formula) to solve the function:

f(x)=x²-7x+10

a)

No solutions

b)

x=-2 and x=-5

c)

x=2 and x=5

d)

x = 2/5

44.

Quadratic equations take the shape of a _______ when graphed.

a)

parabola

b)

straight line

c)

snaked line

d)

elliptical

45.

Does the following graph have a maximum or minimum.

a)

Maximum

b)

Minimum

46.

Does this parabola have a minimum or maximum and what is its value?

a)

minimum: 2

b)

maximum: 2

c)

minimum: 5

d)

maximum: 5

47.

A parabola has a vertex at (-3,2).

What is the axis of symmetry?

a)

y = -2

b)

x = 3

c)

x = -3

d)

y = 2

48.

Use the picture to find the vertex and axis of symmetry

a)

Vertex (3,8) Axis x = 3

b)

Vertex (3,8) Axis y = 3

c)

Vertex (8,3) Axis x = 3

d)

Vertex (8,3) Axis y = 3

49.

What are the x- intercepts?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

50.

Use the graph to determine the solutions.

a)

-1 and -3

b)

1 and -3

c)

1 and 3

d)

-1 and 3

51.

How many solutions does this graph have?

a)

one

b)

two

c)

no solutions

d)

cannot be determined

52.

What is another name for the x-intercepts and solutions of a quadratic?

a)

y-intercept

b)

Zeros

c)

x-axis

d)

They don't have another name

53.

What are the coordinates of the y-intercept?

a)

(-3, 0)

b)

(0, -3)

c)

(2, 1)

d)

y=-3

54.

What is the domain and the range for the graph?

a)

Domain : -2 ≤ x ≤ 2
Range : 0 ≤ y ≤ 4

b)

Domain : 0 ≤ x ≤ 4
Range : -2 ≤ y ≤ 2

c)

Domain : All real #s
Range : y ≤ 4

d)

Domain : -2 ≤ x ≤ 2
Range : y ≤ 4

55.

Determine the domain and range of the function

a)

Domain: All real numbers

Range: All real numbers

b)

Domain: x ≥ -4

Range: All real numbers

c)

Domain: All real numbers

Range: y ≥ -4

d)

Domain: -1 ≤ x ≤ 5

Range: y ≥ -4

56.

What is the y-intercept?

a)

(0,0)

b)

(0,1)

c)

(-3,0)

d)

(0,-3)

57.

What is the y-intercept of the function?

a)

2

b)

3

c)

1

d)

-2

58.

What type of function is f(x)=2(1/7)^x ?

a)

Exponential Growth

b)

Linear

c)

Exponential Decay

d)

None of the Abovee

59.

Is the graph linear, exponential or neither?

a)

Linear

b)

Exponential

c)

Neither

60.

Is the pictured graph growth, decay, or linear or none?

a)

Exponential Growth

b)

Exponential Decay

c)

Linear

d)

None

61.

Is the pictured graph growth, decay, or linear or none?

a)

Growth

b)

Decay

c)

Linear

d)

None

62.

Does the equation represent an exponential function?

a)

Yes

b)

No

63.

Does the equation represent an exponential function?

a)

Yes

b)

No

64.

Does the equation represent an exponential function?

a)

Yes

b)

No

65.

Does the equation represent an exponential function?

a)

Yes

b)

No

66.

1 The discriminant is

a)

aX² + bX + c

b)

b - 4ac

c)

b² - 4ac

d)

b² + 4ac

67.

1 In the equation

y = x² +5x +7,

match each leading coefficient with its correct letter.

a)

a=0, b=5, c=7

b)

a=1, b=5, c=7

c)

a=7, b=5, c=1

68.

1 What does the discriminant tell us?

a)

The maximum or minimum

b)

The y-intercept

c)

The number and type of solutions

d)

The axis of symmetry

69.

2 For the function below, is the discriminant positive, negative, or zero?

y = x² + 4x + 4

a)

Positive

b)

Negative

c)

Zero

70.

2 A function has a discriminant of 4.

How many x-intercepts does it have?

a)

0

b)

1

c)

2

d)

4

71.

2 A function has a discriminant of 0.

How many x-intercepts does it have?

a)

0

b)

1

c)

2

d)

5

72.

3 What is the discriminant of

-2x² − x − 1 = 0 ?

a)

76

b)

-7

c)

9

d)

none of these

73.

3 For the function above, is the discriminant positive, negative, or zero?

a)

Positive

b)

Negative

c)

Zero

74.

3 For the function above, is the discriminant positive, negative, or zero?

a)

Positive

b)

Negative

c)

Zero

75.

4 Determine the value of the discriminant and name the nature of the solution for the following:

x² + 2x - 63

Remember: b² - 4ac

a)

256 - 2 reals - Rational

b)

√(-256 - 2 imaginary solutions

c)

√(137) - 2 reals - Irrational

d)

123 - 2 reals - Rational

76.

What is the maximum height of the parabola?

a)

h = 0.563

b)

h = 10.063

c)

h = 5

d)

h = 1.356

77.

What is the initial height of the parabola?

a)

h = 0.563

b)

h = 10.063

c)

h = 5

d)

h = 1.356

78.

How long does it take the parabola to reach the ground?

a)

t = 0.563

b)

t = 10.063

c)

t = 5

d)

t = 1.356

79.

The pathway of an arrow can be represented by the equation h = -16t² + 80t + 25, where h is the height in feet and t is the time in seconds. What is the maximum height?

a)

h = 125 feet

b)

h = 80 feet

c)

h = 95 feet

d)

h = 140 feet

80.

A rock is dropped from a bridge 320 feet above a river. The pathway that the rock takes can be modeled by the equation h = -16t² + 320. How long will it take the rock to reach the river (ground)?

a)

4.5 seconds

b)

2.5 seconds

c)

3.8 seconds

d)

3.5 seconds

81.

Joe Mauer hits a fly ball. You can track the height of the ball using the equation: h(t) = -16t² + 140t + 2. What is the starting height of the ball?

a)

-16 feet

b)

140 feet

c)

2 feet

d)

0 feet

82.

A baseball was thrown from a height of 5 feet with an initial velocity of 24 feet per second at an angle above the horizontal. Write an equation to represent the situation.

a)

y= -16x²+ 24x + 5

b)

y= -16x²+ 24x - 5

c)

y= 16x²+ 24x + 5

d)

y= x²+ 24x + 5

83.

Charlie shoots a basketball from a height of 6 feet with an initial upward velocity of 18 feet per second. How long will it take the ball to reach the maximum height?

a)

0.6 seconds

b)

11 seconds

c)

6 second

d)

this graph has a minimum

84.

Charlie shoots a basketball from a height of 6 feet with an initial upward velocity of 18 feet per second. How long will it take the ball to hit the floor if it doesn't hit the basket?

a)

1.39 seconds

b)

0.6 seconds

c)

6 second

d)

11 seconds

85.

Write the equation of a circle with center (7, 0) with radius 3.

a)

(x - 7)² + y² = 9

b)

x² + (y -7)² = 9

c)

(x - 7)² + y² = 3

d)

x² + (y -7)² = 3

86.

What are the coordinates of the center and the radius of the circle with equation:
(x - 4)² + (y - 3)² = 25 ?

a)

Center (4,3)
Radius = 5 units

b)

Center (4,3)
Radius = 25 units

c)

Center (-4,-3)
Radius = 25 units

d)

Center (-4,-3)
Radius = 5 units

87.

Write the standard equation of the circle with the given center and radius; center (0,0) and radius: 3

a)

x²+y²=4

b)

x²+y²=81

c)

x²+y²=9

88.

What is the center of the circle with equation x² + y² = 1?

a)

(1, 1)

b)

(0, 0)

c)

not enough information

89.

What is the equation of the circle?

a)

(x+1)² + (y +1)² = 3

b)

(x+1)² + (y -1)² = 3

c)

(x+1)² + (y +1)² = 9

d)

(x-1)² + (y -1)² = 9

90.

Which graph corresponds to
(x-8)²+ (y+2)²=

a)

A

b)

B

c)

C

d)

D

91.

What is the equation of the circle, with centre (-4,5) and radius 6 units?

a)

(x - 4)² + (y + 5)² = 6

b)

(x - 4)² + (y + 5)² = 36

c)

(x + 4)² + (y - 5)² = 6

d)

(x + 4)² + (y - 5)² = 36

92.

Is the point (3 , 5) inside, outside or on the circle with equation x² + y² = 9?

a)

Inside the Circle

b)

Outside the Circle

c)

On the Circle

93.

Write the equation of the circle with center C( -5 , 8 ) and radius = 7

a)

( x - 5 )² + ( y + 8 )² = 14

b)

( x - 5 )² + ( y - 8 )² = 49

c)

( x - 5 )² + ( y + 8 )² = 49

d)

( x + 5 )² + ( y - 8 )² = 49

94.

What is the equation of a circle with radius 4 and center (0, 8)?

a)

x² + (y-8)² = 16

b)

(x-8)² + y² = 4

c)

x² + (y-8)² = 4

d)

x² + (y+8)² = 16

95.

The graph is

a)

b)

c)

96.

The graph is

a)

b)

c)

97.

The graph is

a)

b)

c)

98.

The graph is

a)

b)

c)

d)

99.

The correct graph is

a)

b)

c)

d)

100.

The graph is

a)

b)

c)

d)

101.

The graph is

a)

b)

c)

d)

102.

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

103.

Use the quadratic formula to find the solutions for

y = -x² - 5x + 12

a)

-4.9 and -0.1

b)

-8.54 and 8.54

c)

-0.45 and 3.55

d)

-6.77 and 1.77

104.

Solve 2x² + 7x - 15 = 0

a)

-1.5 or 5

b)

No Solution

c)

-5 or 1.5

d)

0.7 or 5

105.

Solve using the quadratic formula.
2x² - 9x - 35 = 0

a)

x = 7/2, x = -6

b)

x = -5/2, x =5

c)

x = -3/7, x =6

d)

x = -5/2, x = 7

106.

What is this formula?

a)

This is the speed of light formula.

b)

This is the quadratic formula.

c)

This is the zero product property.

d)

This is scary.

107.

Identify the 'b' value: y = 16x² -8x -24

a)

16

b)

-8

c)

8

d)

-24

108.

Solve 8x² - 6x + 1 = 0

a)

No Solution

b)

0 or 1

c)

-0.5 or -0.25

d)

0.25 or 0.5

109.

Use the quadratic formula to find the solutions for
y = 2x² - 9x + 5

a)

-8.14 and -6.14

b)

4.07 and 3.07

c)

3.85 and 0.65

d)

ZERO solutions

110.

Write the circumference of a circle as a function of its radius.

a)

C(r)= $2\Pi r$

b)

C(r)= $d\Pi$

c)

C(r)= $2\Pi$

d)

C(r)= $2r$

111.

Write the circumference of a circle as a function of its diameter.

a)

$d\left(c\right)=\Pi d$

b)

$C\left(d\right)=\Pi d$

c)

$\left(d\right)\left(c\right)=2\Pi r$

d)

$C\left(d\right)=2r$

112.

Write the diameter of a circle as a function of its circumference.

a)

$d\left(C\right)=r$

b)

$C\left(d\right)=2\Pi r$

c)

$d\left(C\right)=\frac{C}{\Pi}$

d)

$d\left(C\right)=2r$

113.

Write the area of a square as a function of its side.

a)

$A\left(s\right)=4s$

b)

$A\left(s\right)=\frac{s}{4}$

c)

$A\left(s\right)=4s^2$

d)

$A\left(s\right)=s^2$

Review for Test 3

Total questions: 113

Worksheet time: 6hrs 39mins

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