Free Printable Math 3 Unit 1 Review

1.

What function family do this belong to?

a)

Power/Polynomial

b)

Trigonometric

c)

Exponential/Logarithm

d)

Absolute Value

2.

What function family do I belong to?

a)

Power/Polynomial

b)

Rational

c)

Exponential/Logarithmic

d)

Absolute Value

3.

What is the parent function for f(x)?

a)

$f\left(x\right)\ =\ 2^x$

b)

$f\left(x\right)\ =\ x^2$

c)

$f\left(x\right)\ =\ \sin\left(x\right)$

d)

$f\left(x\right)\ =\ \left|x\right|$

4.

What family of function is this?

a)

Absolute Value

b)

Power/Polynomial

c)

Reciprocal/Rational

d)

Trigonometric

5.

What is the parent function?

a)

$y\ =\ x^n$

b)

$y\ =\ \log\left(x\right)$

c)

$y\ =\ \frac{1}{x}$

d)

$y\ =\ \cos\left(x\right)$

6.

What function family does f(x) belong to?

a)

Polynomial/Power

b)

Rational

c)

Exponential/Logarithmic

d)

Absolute Value

7.

Determine which function the graph represents.

a)

polynomial

b)

rational

c)

exponential

d)

absolute value

e)

piecewise function

8.

Which functions are exponential? (Check all that apply)

a)

$y=4^x$

b)

$y=\frac{1}{3}x-6$

c)

$y=2^x-6$

d)

$y=x^2$

9.

Which type of function is the graph?

a)

Absolute Value

b)

Rational

c)

Exponential/Logarithmic

d)

Power/Polynomial

10.

Which graph represents

y = |x + 3| − 4 ?

a)

Graph A

b)

Graph B

c)

Graph C

d)

Graph D

11.

What is the range of the function graphed?

a)

(-∞, ∞)

b)

(-∞, 2] and [2, ∞)

c)

[2, ∞)

d)

(-∞, 2]

12.

What is the domain of the function graphed?

a)

(-∞, ∞)

b)

[-5, ∞)

c)

[-5, -4]

d)

[-4, ∞)

13.

Name the y-intercept(s) of the function in the graph.

a)

(-1, 0) and (4, 0)

b)

(-2, 0)

c)

(0, -2)

d)

(0, 4) and (0, -1)

14.

Name the x-intercept(s) in the graph.

a)

(-4, 0) and (2, 0)

b)

(-2, 0)

c)

(0, -2)

d)

(0, -4) and (0, 2)

15.

Which function increases throughout

the interval -2 < x < 2?

a)

b)

c)

d)

16.

Name the interval(s) where the function is decreasing? Click all that apply.

a)

-∞ < x < -1

b)

-1 < x < 1

c)

-2 < x < 2

d)

1 < x < ∞

17.

Which of the following describes an end behavior of the function graphed? Select all that apply.

a)

As x → -∞, y → -∞

b)

As x → -∞, y → +∞

c)

As x → +∞, y → -∞

d)

As x → +∞, y → +∞

18.

Which function family is represented in this graph?

a)

Trigonometric

b)

Absolute Value

c)

Polynomial/Power

d)

Rational

19.

As

x\rightarrow\infty,\ f\left(x\right)\ \rightarrow

a)

$\infty$

b)

$-\infty$

20.

Increasing Interval(s): (Choose all that apply)

a)

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

b)

$\left(2,\ -4.67\right)$

c)

$\left(4.67,\ \infty\right)$

d)

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

e)

$\left(0,\ -9.48\right)$

21.

Decreasing Interval(s): (Choose all that apply)

a)

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

b)

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

c)

$\left(3,\ 5\right)$

d)

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

e)

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

22.

$As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow$

a)

$\infty$

b)

$-\infty$

23.

Does this parabola have a maximum or minimum?

a)

Maximum

b)

Minimum

24.

What is the green dot on the parabola called?

a)

maximum

b)

minumum

c)

roots

d)

zeros

25.

What is the maximum value (y-value only)?

a)

5

b)

0

c)

-5

d)

2

26.

What is the minimum value (y-value only)?

a)

-3

b)

-5

c)

-1

d)

0

27.

Over what interval is this function constant?

a)

-5 < x < ∞

b)

-3 < x < 4

c)

4 < x < ∞

d)

-5

28.

On which interval(s) is the given function increasing?

a)

(-∞, 2) U (-2, ∞)

b)

(-2, 2) U (-2, ∞)

c)

(-∞, -2) U (0.5, ∞)

d)

(0, 2) U (0.5, ∞)

29.

How would you describe the behavior of this function on the domain interval (-1, 1)?

a)

increasing

b)

decreasing

c)

constant

30.

Where is the function increasing and decreasing?

a)

increasing (-∞,∞) and decreasing nowhere

b)

increasing nowhere and decreasing (-∞,∞)

c)

increasing (1,∞) and decreasing (-∞,1)

d)

increasing (-1,∞) and decreasing (-∞,-1)

31.

What are the asymptotes?

a)

x=-2 and y=-1

b)

x=-2 and y=1

c)

x=2 and y=1

d)

x=2 and y = -1

32.

What is the equation of the horizontal asymptote of the given function?

a)

y = 2

b)

x = 1

c)

There isn't one

d)

y = 5

33.

What is the equation for axis of symmetry?

a)

y=3

b)

x=3

c)

x=5

d)

x=1

34.

Which 2 function families have asymptotes?

a)

Reciprocal/Rational

b)

Exponential/Logarithmic

c)

Power/Polynomial

d)

Absolute Value

e)

Trigonometric

35.

Using the pictured graph, what is f(-3)?

a)

-3

b)

-1

c)

1

d)

3

36.

What is the value of f(0)?

a)

-2

b)

2

c)

4

d)

0

37.

Find f(-2)

a)

-3

b)

6

c)

8

d)

-6

38.

Match the graph with the correct equation.

a)

b)

c)

d)

39.

A house painter charges $12 per hour for the first 40 hours he works, $18 for the ten hours after that, and $24 for all hours after that.

How much does he earn for a 70 hour week?

a)

$1020

b)

$1140

c)

$840

d)

He works for free!

40.

Describe the transformation that occurred.

h(x) = f(x) + 2

a)

up 2 units

b)

left 2 units

c)

Vertical Strech

d)

right 2 units

41.

Describe the transformation that occurred

g(x) =2f(x)

a)

Up 2 units

b)

vertical compression

c)

vertical stretch

d)

Right 2 Units

42.

Find x if y = 1

a)

x = -1

b)

x = 0

c)

-2 < x < 1

d)

x = -3 or x = 2

43.

What is the DOMAIN?

a)

(-∞, +∞)

b)

(-∞, -1] U [3, +∞)

c)

[-1, +∞)

d)

(-1, 0] U (0, +∞)

44.

What is m(-3) if:

a)

-3

b)

0.5

c)

3

d)

-3.5

45.

a)

62.5

b)

-30

c)

10

d)

-5

e)

22

46.

Describe the transformation that occurred

p(x) = f(x + 3)

a)

Right 3 units

b)

Vertical Stretch

c)

Up 3 units

d)

Left 3 units

47.

Describe the transformation that occurred

h(x) = 1/5f(x)

a)

Up 5 Units

b)

vertical compression

c)

vertical stretch

d)

Down 5 Units

48.

What causes the graph of y = x² to open downward?

a)

multiply the x² by a fraction

b)

multiply the x² by a decimal

c)

multiply the x² by a negative number

d)

multiply the x² by a number greater than 1

49.

What are the transformations?
y=(x-2)³+4

a)

Horz shift right 2 Vert shift up 4

b)

Horz shift left 2 Vert shift up 4

c)

Horz shift right 2 Vert shift down 4

d)

Horz shift left 2 Vert shift up 4

50.

Given $h\left(x\right)=-2x^2+1$ , describe the transformations from the parent function.

a)

reflect in the x-axis, vertically stretched by a factor of 2 and translate 1 unit up

b)

reflect in the x-axis, vertically compressed by a factor of 2 and translate 1 unit up

c)

reflect in the x-axis, vertically stretched by a factor of 2 and translate 1 unit right

d)

reflect in the y-axis, vertically stretched by a factor of 2 and translate 1 unit left

51.

Describe the transformation that is applied to the parent function.
f(x) = 3 Ix+8I

a)

Stretches by 3, Shifts left 8

b)

Stretches by 3, Shifts right 8

c)

Stretches by 3, Shifts up 8

d)

Stretches by 3, Shifts down 8

52.

Express the following in Interval Notation
-8 ≤ x < 8

a)

[-8, 8]

b)

[-8,8)

c)

(-8, 8]

d)

(-8, 8)

53.

Express the following interval in Set notation:
[3, 5]

a)

3 ≤ x ≤ 5

b)

3 < x ≤ 5

c)

3 ≤ x < 5

d)

3 < x < 5

54.

Express the following interval in Set notation:
(-63, -62)

a)

-63 ≤ x ≤ -62

b)

-63 < x ≤ -62

c)

-63 ≤ x < -62

d)

-63 < x < -62

55.

Look at the graph. Write the inequality in interval notation.

a)

(-2,5)

b)

(-∞,-2)⋃(5,∞)

c)

[-2,5]

d)

(-∞,-2]∪[5,∞)

56.

Write the following in interval notation
x < 8

a)

(8, ∞)

b)

(8, -∞)

c)

(-∞, 8)

d)

[-∞, 8]

57.

Write the following in interval notation
x < 3 or x ≥ 5

a)

(3, -∞) or (∞, 5]

b)

[-∞, 3) or [5, ∞]

c)

(-∞, 3) or [5, ∞)

d)

(3, -∞] or [∞, 5]

58.

Look at the picture. Which number line corresponds to [-2, 5]?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

59.

a)

v>5 or v<-5

b)

v≥5 or v≤-5

c)

v>-5 or v<5

d)

all real numbers

60.

Solve for x.

a)

x ≥ -13 and x ≤ -3

b)

-13 < x < -3

c)

x < -13 and x ≤ -3

d)

x > -13 or x < -3

61.

|v + 8| − 5 = 2

a)

{-1,-15}

b)

{-1,-5}

c)

{-15,15}

d)

No Solution

62.

−2|−2r − 4| = -12

a)

{5,1}

b)

{-5,-1}

c)

{5}

d)

No Solution

63.

|−2n| + 10 = −50

a)

{30, -30}

b)

{20,-20}

c)

{-5,5}

d)

No Solution

64.

3| −8x| + 8 = 80

a)

{-7/3, 7/3}

b)

{-3,3}

c)

{11/3,-11/3}

d)

No Solution

65.

How many solutions does the following equation have?

0 = -6|9v - 7|

a)

no solution

b)

one solution

c)

two solutions

Math 3 Unit 1 Review

Total questions: 65

Worksheet time: 2hrs 20mins

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