Free Printable Unit 6 Test Review Quizizz

1.

If the equation of f(x) goes through (1, 4) and (4, 6), what points does f^-1(x) go through?

a)

(1, 4) and (4, 6)

b)

(-4, -1) and (-6, -4)

c)

(-1, -4) and (-4, -6)

d)

(4, 1) and (6, 4)

2.

Find the inverse of
f(x) = 1/4x - 7

a)

f^-1(x) = 4x + 7

b)

f^-1(x) = -4x + 28

c)

f^-1(x) = -4x - 7

d)

f^-1(x) = 4x + 28

3.

Are the following inverses of each other?

a)

True

b)

False

4.

Are the following inverses of each other? Use composition of functions. fog(x) and gof(x)

a)

True

b)

False

5.

What does it mean to find the inverse of a function?

a)

the x's and y's are switched

b)

the x's and y's are divided by 2

c)

the x's and y's are made negative

d)

the x's and y's are the same

6.

The inverse has been reflected over which line?

a)

y = x

b)

y =1

c)

y = 0

d)

y = x + 1

7.

Determine f^-1(2) given the following information about an invertible function, f(x)
f(1) = -3
f(2) = -2
f(-1) = 2
f(3) = -1

a)

1

b)

-1

c)

2

d)

-2

8.

If f and g are inverse functions, and
f(2) = -1 g(1) = -2 f(1) = -2,
then which of the following MUST be true?

a)

g(-2) = -1

b)

g(2) = 1

c)

g(-2) = 1

d)

g(1) = 2

9.

a)

b)

c)

d)

10.

a)

b)

c)

d)

11.

Find the inverse
f(x)=2x-2

a)

f^-1(x)=1/2x+1

b)

f^-1(x)=-2-1/2x

c)

f^-1(x)=-7/3x-20/3

d)

2-2/5x

12.

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

13.

f(x) = 3x + 10

g(x) = ⅓x - 3

Find g(f(x))

a)

f(g(x)) = 1

b)

f(g(x)) = x

c)

f(g(x)) = 0

d)

None of these.

14.

a)

Inverse Functions

b)

Not Inverse Functions

15.

a)

Inverse Functions

b)

Not Inverse Functions

16.

$f\left(x\right)=5x+1$
Find $f^{-1}\left(x\right)$

a)

$\frac{x-5}{1}$

b)

$\frac{x}{5}-1$

c)

$x-\frac{1}{5}$

d)

$\frac{x-1}{5}$

17.

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

a)

x²+2x+3

b)

4x²+3

c)

2x²+3

d)

2x²+6

18.

Given f(x)= -3x+7 and g(x)=2x² - 8, find f(g(x)).

a)

f(g(x))= -6x²+31

b)

f(g(x))= -6x²+24

c)

f(g(x))=18x²-84x+6

d)

f(g(x))=9x²-42x-1

19.

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

a)

-42

b)

-26

c)

-18

d)

None of these.

20.

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

a)

16

b)

4

c)

-4

d)

None of these.

21.

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

22.

a)

136

b)

4

c)

8

d)

147

23.

a)

2

b)

11

c)

-11

d)

-9

24.

g(x)=3x+4
h(x)=3x-1
Find (g∘h)(x)

a)

-9x+11

b)

4x²+4x

c)

9x+1

d)

9x+11

25.

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

a)

x²+2x+3

b)

4x²+3

c)

2x²+3

d)

2x²+6

26.

Find h(f(x))

a)

4x²

b)

2x²

c)

4x⁴

d)

2x³

27.

a)

9 - √17

b)

4

c)

2

d)

√8

28.

What is f(g(3))?

a)

1/8

b)

8

c)

1/4

d)

1/2

29.

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

30.

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

a)

f(x)

b)

f^-1(x)

c)

y

d)

g^-1(x)

31.

Given f(x) = x+3, find f^-1(-2).

a)

-1

b)

1

c)

5

d)

-5

32.

If f^-1(-25) = 7 then what is f(7) =

a)

25

b)

7

c)

No enough information.

d)

-25

33.

If f and g are inverse functions, and
f(2) = -1 g(1) = -2 f(1) = -2,
then which of the following MUST be true?

a)

g(-2) = 0

b)

g(1) = 1

c)

g(-2) = -3

d)

g(-1) = 2

34.

Simplify the following expression:

a)

5

b)

25

c)

125

d)

625

35.

49^{-\frac{1}{2}}=

a)

7

b)

-7

c)

$\frac{1}{7}$

36.

125^{-\frac{2}{3}}=

a)

-25

b)

$\frac{1}{25}$

c)

25

37.

$\left(\frac{1}{4}\right)^{-\frac{1}{2}}=$

a)

$\frac{1}{2}$

b)

$-\frac{1}{2}$

c)

2

38.

1000^{-\frac{2}{3}}=

a)

-100

b)

$\frac{1}{100}$

c)

-1000

39.

$121^{-\frac{1}{2}}=$

a)

-11

b)

$-\frac{1}{11}$

c)

$\frac{1}{11}$

40.

$32^{\frac{3}{5}}=$

a)

8

b)

16

c)

64

41.

$64^{\frac{3}{2}}=$

a)

4

b)

16

c)

512

42.

$\left(\frac{9}{16}\right)^{-\frac{1}{2}}=$

a)

$-\frac{3}{4}$

b)

$\frac{4}{3}$

c)

$-\frac{4}{3}$

43.

$\left(-32\right)^{\frac{3}{5}}$

a)

-2

b)

-4

c)

-8

d)

8

44.

$\left(-8\right)^{\frac{2}{3}}$

a)

4

b)

-4

c)

-2

d)

8

45.

$\left(\frac{1}{125}\right)^{-\frac{1}{3}}$

a)

$\frac{1}{5}$

b)

$-\frac{1}{5}$

c)

$5$

d)

$-5$

46.

$\left(\frac{1}{81}\right)^{-\frac{1}{4}}$

a)

$\frac{1}{3}$

b)

$-\frac{1}{3}$

c)

3

d)

-3

47.

What is the range of the function in this graph?

a)

y ≤ 3

b)

y ≥ 3

c)

y ≤ 0

d)

y ≥ 0

48.

What is the domain of this graph?

a)

x ≥ -1

b)

x ≤ -1

c)

x ≥ 0

d)

x ≤ 0

49.

What is the range of this graph?

a)

y ≥ -1

b)

y ≤ -1

c)

y ≥ 0

d)

y ≤ 0

50.

Sketch the graph of each function.

a)

b)

c)

d)

51.

Find the domain and range of the function
Hint: Use a scratch graph to help you visualize things.

a)

Domain: (-∞, ∞) Range: [-∞, 4]

b)

Domain: [1, ∞) Range: (-∞, 4]

c)

Domain: [-1. ∞) Range: [4, ∞)

d)

Domain: [4, ∞) Range: [-1,∞)

52.

Identify the Range

a)

(- ∞, -2 ]

b)

[ -2, ∞ )

c)

(-∞, 0)

d)

[ 0, ∞)

53.

Which of these equations shifts a radical equation right 5 times and down once?

a)

y = √(x - 5) - 1

b)

y = √(x + 5) - 1

c)

y = √(x - 5) + 1

d)

y = √(x + 5) + 1

54.

What is the equation of the graph?

a)

y = √(x - 3)

b)

y = √(x) + 3

c)

y = √(x - 5) + 4

d)

y = √(x + 5) + 4

55.

What is the equation of the graph?

a)

y = √(x - 3)

b)

y = √(x) + 3

c)

y = √(x - 5) + 4

d)

y = √(x + 5) + 4

56.

Identify the Transformations.

a)

Vertical stretch by 2 and down 4

b)

Horizontal compression by ½ and down 4

c)

Vertical stretch by 2 and up 4

d)

Horizontal compression by ½ and right 4

57.

Which graph represents the function?

a)

b)

c)

d)

58.

Which graph represents the function?

a)

b)

c)

d)

59.

Which function matches the graph?

a)

A

f(x) = ∛(x + 3) + 2

b)

B

f(x) = − ∛(x - 3) + 2

c)

C

f(x) = ∛(x - 3) + 2

d)

D

f(x) = ∛(x - 2) + 3

60.

Solve the equation.

a)

36

b)

18

c)

-18

d)

27

61.

What function best describes this graph?

a)

$f\left(x\right)=-\sqrt{x+4}-2$

b)

$f\left(x\right)=\sqrt{x-4}-2$

c)

$f\left(x\right)=-\sqrt{x-4}-2$

d)

$f\left(x\right)=\sqrt{x+4}+2$

62.

a)

x = -6

b)

x = 3

c)

x = -3

d)

x = 5±

63.

a)

x = 2

b)

x = 4

c)

x = 7

d)

x = 9

64.

Solve. Remember to check for extraneous solutions.

a)

{-3}

b)

{6}

c)

{-5,6}

d)

{-5}

65.

Solve

a)

-5

b)

5

c)

10

d)

25

66.

Which equation results in No Solution?

a)

$\sqrt[\ ]{x}=5$

b)

$\sqrt[\ ]{x+3}=4$

c)

$\sqrt[\ ]{x}=-10$

d)

$3\sqrt[\ ]{x}=27$

67.

Solve

a)

-9

b)

-2,3

c)

5

d)

0

68.

Which table represents the inverse function values of the table above?

a)

b)

c)

d)

69.

True or False? The inverse of (-5,6) is (6,-5)

a)

True

b)

False

70.

Find $h^{-1}\left(12\right)$

a)

5

b)

10

c)

-1

d)

-7

71.

Find $m^{-1}\left(3\right)$

(a)

72.

Find $g^{-1}\left(-4\right)$

a)

5

b)

10

c)

-1

d)

-7

73.

a)

b)

c)

d)

74.

r(-2) = ?

a)

r(-2) = -12

b)

r(-2) = -8

c)

r(-2) = -4

d)

r(-2) = -2

75.

$m(x)=x^2+3x-7$

g(x)=3x^2+5+2x

Find: g(x) - m(x)

a)

$4x^2+5x-2$

b)

$2x^2+x-12$

c)

$2x^2-x+12$

d)

$2x^2+x-2$

76.

$p(x)=5x-1$ $c(x)=2x-8$
Find p(x) - c(x)

a)

$7x-7$

b)

$7x-9$

c)

$3x+7$

d)

$3x-9$

77.

$g(x)=3x^2+5+2x$ $p(x)=5x-1$
Find g(x) + p(x)

a)

$3x^2+7x-4$

b)

$3x^2+3x+4$

c)

$3x^2+7x+4$

d)

$3x^2+7x-5$

78.

$g(x)=3x^2+5+2x$
Find g(3)

(a)

79.

$f\left(n\right)=3n+2$ and $g\left(n\right)=-3n-4$ Find: $\left(f+g\right)\left(-10\right)$

a)

-2

b)

91

c)

52

d)

31

80.

$f\left(x\right)=x-1$ and $g\left(x\right)=2x+2$ Find: $\left(f\cdot g\right)\left(2\right)$

a)

160

b)

100

c)

28

d)

6

Unit 6 Test Review Quizizz

Total questions: 80

Worksheet time: 5hrs 51mins

Similar Resources on Wayground