Free Printable Unit 2 Exam Review

1.

What is the RANGE of the function shown?

a)

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

b)

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

c)

$\left(-\infty,\ 2\right)\ \cup\ \left(3,\ \infty\right)$

d)

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

2.

What is the DOMAIN of the function shown?

a)

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

b)

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

c)

$\left(-\infty,\ 2\right)\ \cup\ \left(3,\ \infty\right)$

d)

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

3.

What is the range of the function shown?

a)

$\left(-\infty,\ 1\right)\ \cup\ \left[2,\ \infty\right)$

b)

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

c)

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

d)

$\left(-\infty,\ -2\right)\ \cup\ \left[1,\ \infty\right)$

4.

What is the domain of the function shown?

a)

$\left(-\infty,\ 1\right)\ \cup\ \left[2,\ \infty\right)$

b)

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

c)

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

d)

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

5.

Evaluate the function when x = 4

a)

f(4) = 2(4) - 5 = 3

b)

f(4) = 2(4) - 5 = -1

c)

f(4) = ½(4) + 1 = 3

d)

f(4) = 4

6.

Evaluate the function when x = 6

a)

f(6) = -5

b)

f(6) = 4

c)

f(6) = 2

d)

f(6) = 7

7.

What is g(-2) if:

a)

-7

b)

7

c)

1

d)

-1

8.

Find f(-2)

a)

-3

b)

6

c)

8

d)

-6

9.

Find f(0)

a)

-3

b)

18

c)

4

d)

0

10.

Describe the transformation that is applied to the parent function.
f(x) = IxI -5

a)

Shifts left 5

b)

Shifts right 5

c)

Shifts up 5

d)

Shifts down 5

11.

Write the equation for a graph that is vertically compressed by a factor of 2/5 and shifted up 6.

a)

y=6|x|-2/5

b)

y=2/5|x|+6

c)

y=2/5|x+6|

d)

y=2/5|x-6|

12.

What is the parent function for absolute values?

a)

y = x

b)

y = |x|

c)

y = x²

d)

y = 2^x

13.

Write the absolute value equation given the following transformations:
Reflection over the x-axis
Horizontal shift right 2 units
Vertical shift down 7 units

a)

$y=-\left|x+2\right|-7$

b)

$y=\left|x-2\right|-7$

c)

$y=-\left|x-2\right|-7$

d)

$y=\left|x+2\right|-7$

14.

Describe the transformations from the parent graph to f(x) = -3∣x + 5∣ - 7

a)

Down 7, Left 5, Vertical Stretch by 3, Reflection across x-axis

b)

Up 7, Right 5, Vertical Stretch by 3,Reflection across x-axis

c)

Down 7, Left 5, Vertical Compression by 3, Reflection across x-axis

d)

Up 7, Right 5, Vertical Compression by 3, Reflection across x-axis

15.

What's the name of the inverse of g(x)?

a)

f(x)

b)

f^-1(x)

c)

y

d)

g^-1(x)

16.

Find the inverse of f(x) = -4x - 12

a)

f^-1(x) = 4x - 3

b)

f^-1(x) = -1/4x - 3

c)

f^-1(x) = 1/4x + 3

d)

f^-1(x) = - 4x - 3

17.

Which is f ^-1(x)?

a)

f^-1(x) = 3x + 5

b)

f^-1(x) = 3x - 5

c)

f^-1(x) = 3x - 15

d)

f^-1(x) = 3x + 15

18.

Find the inverse of the function
f(x) = 3x − 5

a)

f^-1(x)=3x +5

b)

f^-1(x)=(x+5)/3

c)

f^-1(x)=3y-5

d)

f^-1(x)=3y+5

19.

What is the equation of the graph below?

a)

f(x ) = I x + 4 I + 2

b)

f(x ) = -I x - 4 I + 2

c)

f(x ) = I x - 4 I + 2

d)

f(x ) = -I x + 4 I + 2

20.

What is the equation of this graph?

a)

y=2|x-3|+1

b)

y=2|x-1|+3

c)

y=-2|x-3|+1

d)

y=-2|x-1|+3

21.

Choose the correct translated function.

a)

f(x)= |x|+2

b)

f(x)= |x|-2

c)

f(x)= -|x|

d)

f(x)= -|x|+2

22.

What is the equation of the graph below?

a)

f(x ) = I x + 4 I + 2

b)

f(x ) = -I x - 4 I + 2

c)

f(x ) = I x - 4 I + 2

d)

f(x ) = -I x + 4 I + 2

23.

What is the equation of the absolute value function?

a)

f(x)= 4|x+3|

b)

f(x)= 1/4 |x+3|

c)

f(x)= 1/4 |x - 3|

d)

f(x)= 4|x - 3|

24.

Given f(x)=3x+9 and g(x)= x-9/3, Find f(g(5))

a)

4

b)

-5

c)

5

d)

0

25.

Are the following inverses of each other?

a)

True

b)

False

26.

The inverse has been reflected over which line?

a)

y = x

b)

y =1

c)

y = 0

d)

y = x + 1

27.

f(x) = 3x + 10 g(x) = x − 2

Which is the correct set up to find f(g(x))

a)

3x + 10 + x − 2

b)

3(x − 2) + 10

c)

(3x + 10) − 2

d)

None of these.

28.

Which is f ^-1(x)?

a)

f^-1(x) = 5x + 3

b)

f^-1(x) = 5x - 3

c)

f^-1(x) = 5x - 15

d)

f^-1(x) = 1/5(x) + 3/5

29.

are these inverse functions?

a)

no

b)

yes

c)

no way to tell

30.

Are these the graphs of two inverse functions?

a)

Yes

b)

No

c)

No way to tell

31.

Are the graphs inverses?

a)

yes

b)

no

32.

Are the blue and red graphs inverse functions?

a)

Yes, the functions reflect over y = x

b)

No, they do not reflect over the x - axis.

c)

No way to tell from a graph

33.

Are the graphs inverses?

a)

yes

b)

no

34.

Are the graphs inverses?

a)

yes

b)

no

35.

Are the graphs inverses?

a)

yes

b)

no

36.

$Find\ the\ composition\ g\left(f\left(t\right)\right)$

$g\left(t\right)=2t-1$
$f\left(t\right)=-2t+2$

a)

$-4t+3$

b)

$-4t+4$

c)

$2t$

d)

$4t+4$

37.

Find f(2).

a)

-2

b)

-18

c)

24

d)

6

38.

Find f[g(5)]

a)

30

b)

242

c)

92

d)

2

39.

f(g(x))

a)

3x - 16

b)

3x - 2

c)

3x - 26

d)

4x - 2

40.

f(x) = 9-3x
g(x) = 5x-7
Find f(x)+g(x).

a)

14x-10

b)

-8x+2

c)

2x+2

d)

2x-2

41.

f(x) = x²+9
g(x) = x-9
Find f(x)-g(x).

a)

x²+x+9

b)

x²-x+9

c)

x²-x

d)

x²-x+18

42.

If $f\left(x\right)\ =\ 3x^2-4$ and $g\left(x\right)=x^2-8x+4$ , then $\left(f-g\right)\left(x\right)=$

a)

$2x^2-8x-8$

b)

$2x^2+8x-8$

c)

$2x^2-8x$

d)

$2x^2+8x$

43.

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

44.

f(x) = 3x + 10
g(x) = x - 2
Find f(g(5))

a)

19

b)

23

c)

-10

d)

None of these.

45.

f(x) = 3x + 10
g(x) = x - 2
Find f(g(0))

a)

16

b)

4

c)

-4

d)

None of these.

46.

f(x)=x³-3x g(x)=-4x+1 Find f(2) ⋅ g(2)

a)

14

b)

-18

c)

0

d)

-14

47.

What is the definition of absolute value?

a)

The distance a number is to zero

b)

A positive number

c)

A number that has a value with a different sign

48.

What is the domain of the absolute value function?

a)

(4, 0)

b)

(0, 4)

c)

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

d)

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

49.

What is the range of the absolute value function?

f\left(x\right)=-\left|x-2\right|+6?

a)

$\left[6,\ \infty\right)$

b)

$\left(-\infty,\ 6\right]$

c)

$\left(6,\ \infty\right)$

d)

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

50.

What is the range of this graph?

a)

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

b)

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

c)

(2, 3)

d)

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

51.

What is the y-intercept?

a)

(0, 2)

b)

(2, 0)

c)

none

d)

(2, 2)

52.

What is the vertex?

a)

(1, 4)

b)

(4, 1)

c)

(0, 0)

d)

(0, 1)

53.

What is the axis of symmetry?

a)

y = 50

b)

x = 15

c)

x = 50

d)

y = 15

54.

What is/are the x-intercept(s)? Select all that apply.

a)

(-10, 0)

b)

(2, 0)

c)

(0, -1)

d)

(-4, -3)

55.

Which statement is not true?

a)

line of symmetry is at x=-3

b)

the vertex is the maximum

c)

y-intercept is at (-1,0)

d)

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

56.

What is the vertex of the following function?
y=2|x-3|+1

a)

(2,3)

b)

(-3,1)

c)

(2,-3)

d)

(3,1)

57.

Find the domain and range of the function.

a)

$D:\ \left[2,\ \infty\right],\ R:\ \left(-\infty,\ \infty\right)$

b)

$D:\ \left(2,\ \infty\right),\ R:\left[-1,\ \infty\right)$

c)

$D:\ \left(-1,\ \infty\right),\ R:\ \left(2,\ \infty\right)$

d)

$D:\ \left[2,\ \infty\right),\ R:\left(-1,\ \infty\right)$

Unit 2 Exam Review

Total questions: 57

Worksheet time: 3hrs 29mins

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