Free Printable 11.1 -11.2 Quizizz

1.

Which graph represents $g(x)=-\sqrt[]{x-3}+2$ ?

a)

b)

c)

d)

2.

Which graph represents $g(x)=-\sqrt[]{x+3}+2$ ?

a)

b)

c)

d)

3.

Which graph represents $g(x)=\sqrt[]{x+3}+2$ ?

a)

b)

c)

d)

4.

Which graph represents $g(x)=\sqrt[]{x-3}+2$ ?

a)

b)

c)

d)

5.

Graph the function $y=-\sqrt{x-3}\ +2$

a)

b)

c)

d)

6.

What is the domain of the function in this graph?

a)

(-∞,3]

b)

[3,∞)

c)

(-∞,0]

d)

[0,∞)

7.

What is the range of the function in this graph?

a)

(-∞,3]

b)

[3,∞)

c)

(-∞,0]

d)

[0,∞)

8.

What is the domain of this graph?

a)

[ -1,∞)

b)

(-∞,-1]

c)

[0,∞)

d)

(-∞,0]

9.

What is the range of this graph?

a)

[ -1,∞)

b)

(-∞,-1]

c)

[0,∞)

d)

(-∞,0]

10.

What is the domain of this function?

$y=\sqrt{x-1}-3$

a)

[1,∞)

b)

(-∞,1]

c)

[-3,∞)

d)

[-1,∞)

11.

What is the domain of the function?

a)

[0,∞)

b)

[-2,∞)

c)

(-∞,-2]

d)

[2,∞)

12.

What is the range of the function?

a)

(-∞,3]

b)

[2,∞)

c)

[3,∞)

d)

(-∞,2]

13.

What is the range of this function?

$y=\sqrt{x-2}+4$

a)

[-2,∞)

b)

[2,∞)

c)

[4,∞)

d)

[-4,∞)

14.

Describe the transformation.

a)

Down 1

b)

Reflect over y-axis

c)

Up 1

d)

Reflect over x-axis

15.

What are the transformations of this functions compared to the parent function?

a)

Shifted down 2

b)

Shifted up 2

c)

Shifted left 2

d)

Shifted right 2

16.

What are the transformations of this functions compared to the parent function?

a)

Shifted right 5, shifted down 2, and reflected over the x-axis

b)

Reflected over the x-axis, vertical stretch, and shifted right 5

c)

Reflected over the x-axis, vertical stretch, and shifted left 5

d)

Shifted right 5, shifted down 2

17.

What are the transformations to the graph compared to the parent function?

a)

Shifted right 2, shifted up 3, and reflected over the y-axis

b)

Shifted left 2, shifted up 3, and reflected over the y-axis

c)

Shifted left 2, shifted up 3, and reflected over the x-axis

d)

Shifted right 2, shifted up 3, and reflected over the x-axis

18.

Describe the transformation.

a)

Left 1unit, Reflect over x-axis, up 2 units

b)

Left 1unit, Reflect over y-axis, down 2 units

c)

Right 1 unit, Reflect over x-axis, up 2 units

d)

Right 1unit, Reflect over y-axis, up 2 units

19.

Which is an equation that shifts the graph of the function above to the left 5 units?

a)

b)

c)

d)

20.

What are the transformations for the graph of
the parent function f(x) = √x to the function above

a)

Vertical Stretch by a factor of 2; translated down 5 units

b)

Shifted right 2 units and down 5 units

c)

Vertical stretch by a factor of 2; translated left 5 units

d)

Vertical stretch by a factor of 2; translated right one unit

21.

a)

$y=-\sqrt{x+1}$

b)

$y=\sqrt{x+1}$

c)

$y=-\sqrt{x}-1$

d)

$y=\sqrt{x}+1$

22.

Determine the equation for the graph.

a)

$y=2\sqrt{x}-4$

b)

$y=-\sqrt{x-4}$

c)

$y=2\sqrt{x}$

d)

$y=2\sqrt{x}+4$

23.

Match the correct equation with the given graph.

a)

$y=\sqrt{x}+2$

b)

$y=\sqrt{x}-2$

c)

$y=\sqrt{x+2}$

d)

$y=\sqrt{x-2}$

24.

What function best describes this graph?

a)

$y=-\sqrt{x+4}-2$

b)

$y=\sqrt{x-4}-2$

c)

$y=-\sqrt{x-4}-2$

d)

$y=\sqrt{x+4}+2$

25.

Which graph represents the function? $g\left(x\right)=-\frac{3}{4}\sqrt[3]{x-4}+5$

a)

b)

c)

d)

26.

Which graph represents the function? $g\left(x\right)=-\frac{3}{4}\sqrt[3]{x+4}+5$

a)

b)

c)

d)

27.

Which graph represents the function? $g\left(x\right)=\frac{3}{4}\sqrt[3]{x-5}-4$

a)

b)

c)

d)

28.

Which graph represents the function?

a)

b)

c)

d)

29.

Which graph represents the function?

a)

b)

c)

d)

30.

Which is the domain?

a)

(-∞,∞)

b)

[-1,∞)

c)

[2,∞)

d)

[1,∞)

31.

Which is the range?

a)

(-∞,∞)

b)

[-1,∞)

c)

[2,∞)

d)

[1,∞)

32.

What is the Domain of ALL Cube Root Functions in interval notation?

a)

(−∞,∞)

b)

−∞<x<∞

c)

(−∞,0]

d)

All Cube Root Functions are different.

33.

What is the Range of ALL Cube Root Functions in interval notation?

a)

(−∞,∞)

b)

−∞<x<∞

c)

(−∞,0]

d)

All Cube Root Functions are different.

34.

What is the inflection (center) point of the function?

a)

(5,-1)

b)

(5,1)

c)

(-5,-1)

d)

(-5,1)

35.

If f(x) = ∛(x) is reflected over the x-axis, vertically compressed by a factor of 1/4, and shifted left 9, which equation is correct?

a)

1/4 ∛(x + 9)

b)

1/4 ∛(x - 9)

c)

- 1/4 ∛(x + 9)

d)

- 1/4 ∛(x - 9)

36.

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

37.

What transformations have occurred to get the graph of g(x) from the graph of f(x)?

a)

reflection over the x-axis,vertical compress by a factor of 5

b)

reflection over the y-axis,vertical compress by a factor of 5

c)

reflection over the x-axis,vertical stretch by a factor of 5

d)

reflection over the y-axis,vertical stretch by a factor of 5

38.

Which function matches the graph?

a)

A

$y\ =\ \sqrt[3]{x+3}+2$

b)

B

$y\ =\ \ \sqrt[3]{x+3}-2$

c)

C

$y\ =\ \sqrt[3]{x-3}+2$

d)

D

$y\ =\ \sqrt[3]{x-2}+3$

39.

Match the equation with the graph

a)

$y=\sqrt[3]{x-3}+5$

b)

$y=\sqrt[3]{x-3}-5$

c)

$y=\sqrt[3]{x+3}+5$

d)

$y=\sqrt[3]{x+3}-5$

40.

Match the equation with the graph

a)

$y=\sqrt[3]{x-3}$

b)

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

c)

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

d)

$y=\sqrt[3]{x}-3$

41.

How do you find an inverse of a point?

a)

Switch x and y

b)

Flip the signs on all the x-values

c)

Flip the signs on all the y-values

d)

Do nothing

42.

Are the relations inverses?

a)

yes

b)

no

43.

Check all of the ordered pairs that are on the inverse of f(x).

a)

(-3, -1)

b)

(0, 1)

c)

(15, 2)

d)

(1, 1)

e)

(2, 17)

44.

Are the relations inverses?

a)

yes

b)

no

45.

What are the missing values if g(x)=f^-1(x)?

a)

(9,-5)

b)

(-9,-5)

c)

(5,9)

d)

(-9,5)

46.

How can you tell if a graph shows and function and its inverse?

a)

The graphs will be reflected over y=x

b)

The graphs will be reflected over y=0

c)

The graphs will be reflected over x=0

d)

You can't

47.

The inverse has been reflected over which line?

a)

y = x

b)

x = 0

c)

y = 0

d)

x = -y

48.

What's the best description?

a)

They are both functions, but not inverse functions.

b)

They are reflected over y=x, but they are not both functions.

c)

They are not reflected over y=x, and they are not both functions.

d)

They are inverse functions.

49.

Are the graphs inverses?

a)

yes

b)

no

50.

Which graph represents f^-1(x) over the same domain?

a)

b)

c)

d)

51.

What's the best description?

a)

They are both functions, but not inverse functions.

b)

They are reflected over y=x, but they are not both functions.

c)

They are not reflected over y=x, and they are not both functions.

d)

They are inverse functions.

52.

When finding the inverse of a relation,
1st you replace f(x) with y
2nd switch the x's and y's
What do you do next?

a)

solve for y

b)

replace y with f^-1(x)

c)

solve for x

d)

find the greatest common factor

53.

Find the inverse of $f\left(x\right)=x^3+7$

a)

$f^{-1}\left(x\right)=\sqrt[3]{x-7}$

b)

$f^{-1}\left(x\right)=\sqrt[3]{x}-7$

c)

$f^{-1}\left(x\right)=\left(x-7\right)^3$

d)

$f^{-1}\left(x\right)=x^3$

54.

What is the inverse function of $f\left(x\right)=\frac{x^3}{2}$ ?

a)

$f^{-1}=2x^3$

b)

$f^{-1}=\sqrt[3]{2x}$

c)

$f^{-1}=\sqrt[3]{\frac{x}{2}}$

d)

None of the above

55.

Find the inverse of $f^{-1}\left(x\right)=\left(x-4\right)^3$

a)

$f^{-1}\left(x\right)=\sqrt[3]{x-4}$

b)

$f\left(x\right)=\sqrt[3]{x}+4$

c)

$f^{-1}\left(x\right)=\sqrt[3]{x}-4$

d)

$f^{-1}\left(x\right)=\sqrt[3]{x+4}$

56.

Given $f\left(x\right)=\left(\frac{x}{5}\right)^3$ , which is f^-1(x)?

a)

$f^{-1}\left(x\right)=5\sqrt[3]{x}$

b)

$f^{-1}\left(x\right)=\frac{\sqrt[3]{x}}{5}$

c)

$f^{-1}\left(x\right)=\sqrt[3]{5x}$

d)

$f^{-1}\left(x\right)=\sqrt[3]{\frac{x}{5}}$

57.

Which of the following is the inverse function of $f\left(x\right)=3\left(x-2\right)^3+5$

a)

$f^{-1}=\sqrt[3]{\frac{x-5}{3}}+2$

b)

$f^{-1}=3\sqrt[3]{x-2}+5$

c)

$f^{-1}=\frac{1}{3}\sqrt[3]{x-5}+2$

d)

None of the above

58.

What is the inverse of the given function?

$f\left(x\right)=\sqrt[3]{9-x}+3$

a)

$f^{-1}\left(x\right)=-\left(x-3\right)^3+9$

b)

$f^{-1}\left(x\right)=\left(x-3\right)^3-9$

c)

$f^{-1}\left(x\right)=-\left(x-9\right)^3+3$

d)

$f^{-1}\left(x\right)=-\left(x+9\right)^3-3$

59.

What is the inverse of the given function?

a)

$f^{-1}\left(x\right)=\sqrt[3]{-2x+12}^{ }$

b)

$f^{-1}\left(x\right)=\sqrt[3]{-2x}+12$

c)

$f^{-1}\left(x\right)=\left(-2x+12\right)^3$

d)

$f^{-1}\left(x\right)=\left(2x-12\right)^3+12$

60.

What is the inverse function of $f\left(x\right)=\left(x+9\right)^3$

a)

$f^{-1}\left(x\right)=\sqrt[3]{x}-9$

b)

$f^{-1}\left(x\right)=\sqrt[3]{x-9}$

c)

$f^{-1}\left(x\right)=\sqrt[3]{x}+9$

d)

$f^{-1}\left(x\right)=\sqrt[3]{x+9}$

61.

What is the inverse quadratic function?

a)

$f^{-1}(x)=x^2$

b)

$f^{-1}\left(x\right)=\pm\ \sqrt[]{x}$

c)

$f^{-1}(x)=-x^2$

d)

It doesn't have an inverse.

62.

Find the inverse of f(x) = (x-5)² on the domain [5,∞)

a)

$f^{-1}(x)=\sqrt{x}+5$

b)

$f^{-1}(x)=\sqrt[3]{x-5}$

c)

$f^{-1}(x)=\sqrt{x+5}$

d)

$f^{-1}(x)=x^2-5$

63.

Find the inverse of $f(x)=x^2-5$ on the domain (-∞,0]

a)

$f^{-1}(x)=\sqrt{x}+5$

b)

$f^{-1}(x)=\sqrt{x-5}$

c)

$f^{-1}(x)=-\sqrt{x+5}$

d)

$f^{-1}(x)=\sqrt{x+5}$

64.

Find the inverse function of $y=x^2+9$ with a restricted domain of (-∞,0]

a)

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

b)

$y=-\sqrt{x-9}$

c)

$y=\sqrt{x-9}$

d)

$y=\sqrt{x+9}$

65.

Find the inverse function of $y=x^2+9$ with a restricted domain of [0,∞)

a)

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

b)

$y=-\sqrt{x-9}$

c)

$y=\sqrt{x-9}$

d)

$y=\sqrt{x+9}$

66.

Find the inverse of $f\left(x\right)\ =\frac{1}{2}x^2$ on the domain [0,∞)

a)

$f^{-1}\left(x\right)\ =-\ \sqrt[]{2x}$

b)

$f^{-1}\left(x\right)\ =\sqrt{2x}$

c)

$f^{-1}\left(x\right)\ =$ $-2x$

d)

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

67.

Find the inverse of

$f\left(x\right)\ =\ \sqrt{x\ +\ 1}$

a)

$f^{-1}\left(x\right)\ =\ \left(x+1\right)^2$ on the domain (-∞,0]

b)

$f^{-1}\left(x\right)=x^2-1$ on the domain [0,∞)

c)

$f^{-1}\left(x\right)\ =\ x^2-1$ on the domain (-∞,0]

d)

$f^{-1}\left(x\right)\ =\ -x^2$ on the domain [0,∞)

68.

What is the inverse of the given quadratic function? $f\left(x\right)=4\left(x+3\right)^2$ when [-3,∞)

a)

$f^{-1}\left(x\right)=-\frac{\sqrt{x}}{2}-3$

b)

$f^{-1}\left(x\right)=\sqrt{4x+3}$

c)

$f^{-1}\left(x\right)=\frac{\sqrt{x}}{2}-3$

d)

$f^{-1}\left(x\right)=2\sqrt{x}-3$

69.

Find the inverse of $f\left(x\right)\ =\frac{1}{2}x^2$ on the domain (-∞,0]

a)

$f^{-1}\left(x\right)\ =-\ \sqrt[]{2x}$

b)

$f^{-1}\left(x\right)\ =\sqrt{2x}$

c)

$f^{-1}\left(x\right)\ =$ $-2x$

d)

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

70.

Find the inverse function of $f\left(x\right)=\sqrt{x}-6$

a)

$f^{-1}\left(x\right)=\left(x+6\right)^2$ on the domain [-6,∞)

b)

$f^{-1}\left(x\right)=\left(x-6\right)^2$ on the domain (-∞,-6)

c)

$f^{-1}\left(x\right)=\left(x+6\right)^2$ on the domain (-∞,-6)

d)

$f^{-1}\left(x\right)=x^2+36$ on the domain [-6,∞)

71.

What is the RANGE of the INVERSE function?

a)

{-5, 1, 3, 4}

b)

{-4, -3, -1, 5}

c)

{-4, -2, 0, 7}

d)

{-7, 0, 2, 4}

72.

Here is the domain and range for a function:

D: (-∞, ∞)

R: [3, ∞)

What is the domain and range of the inverse?

a)

D: [3, ∞)

R: (-∞, ∞)

b)

D: (-∞, ∞)

R: [3, ∞)

73.

What is the DOMAIN of the INVERSE function?

a)

{-7, -2, -1, 1, 4}

b)

{-6, -3, -2, 0, 3}

c)

{-3, 0, 2, 3, 6}

d)

{-4, -1, 1, 2, 7}

74.

How must the domain of f(x) be restricted such that g(x)=f^-1(x) ?

a)

(-∞,4]

b)

[4,∞)

c)

(-∞,0]

d)

[0,∞)

75.

How must the domain of f(x) be restricted such that g(x)=f^-1(x) ?

a)

x ≤ 0

b)

x ≥ 0

c)

x ≤ 3

d)

x ≥ 3

76.

TRUE OR FALSE:

If the DOMAIN of a function is (-∞, 2], then the DOMAIN of the INVERSE function will also be (-∞, 2].

a)

false

b)

true

77.

TRUE OR FALSE:

If the RANGE of a function is (4, 2], then the DOMAIN of the INVERSE function will also be (4, 2].

a)

false

b)

true

11.1 -11.2 Quizizz

Total questions: 77

Worksheet time: 3hrs 5mins

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