Free Printable Functions + Inverses Review

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.

Was the inverse function found correctly?

a)

no,

b)

yes

3.

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

4.

The inverse of the function f(x) is written as ...

a)

f ^-1(x)

b)

f ²(x)

c)

f '(x)

d)

f ⁺(x)

5.

The inverse has been reflected over which line?

a)

y = x

b)

y =1

c)

y = 0

d)

y = x + 1

6.

What is the inverse of the given coordinates: (1, 2) (3, 8) (-3, 6)

a)

(1, 2) (3, 8) (-3, 6)

b)

(1, 2) (8, 3) (-3, 6)

c)

(-1, -2) (-3, -8) (3, -6)

d)

(2, 1) (8, 3) (6, -3)

7.

Are these inverse functions?

a)

no

b)

yes

c)

no way to tell

8.

Are these functions inverses?

a)

Yes

b)

No

9.

Are the blue and red graphs inverse functions?

a)

yes

b)

no

c)

no way to tell

d)

Yes, but the inverse is not a function.

10.

are these inverse functions?

a)

no

b)

yes

c)

no way to tell

11.

Find the inverse of
f(x) = -3x + 3

a)

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

b)

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

c)

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

d)

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

12.

Are the following inverses of each other?

a)

True

b)

False

13.

Which graph does NOT pass the vertical line test?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

14.

Is the relation a function? Why.

a)

Yes, because the x-value 11 has two y-values pair with it.

b)

Yes, because each x-value has only one y-value paired with it.

c)

No, because the x-value 11 has two y-values pair with it.

d)

No, because each x-value has only one y-value paired with it.

15.

What is the collection of input values in a function called?

a)

Range

b)

Output

c)

Domain

d)

Ordered Pair

16.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

17.

Which word doesn't belong with the others?

a)

range

b)

y-values

c)

input

d)

output

18.

Why does this diagram indicate a function?

a)

There are the same number of elements in the domain and range.

b)

Each element in the domain corresponds to only one element in the range.

c)

The elements in the second set are larger numbers.

d)

The diagram doesn't indicate a function.

19.

Is this graph ONE TO ONE function?

a)

yes, one to one function

b)

no, not one to one function

20.

Is this graph a ONE TO ONE function?

a)

yes, one to one function

b)

No, not one to one function

21.

Is this graph ONE TO ONE function?

a)

yes, one to one function

b)

No, not a one to one function

22.

What is the test to determine if a graph represents a ONE TO ONE function?

a)

Horizontal line test

b)

Vertical line test

c)

Heidelberg Uncertainty Test

d)

Obi Wan Kenobi Test

23.

The relation in the graph is..

a)

a function but not a one-to-one function.

b)

a one-to-one function.

c)

not a function

24.

Is this table display a one-to-one function?

a)

No

b)

Yes

25.

Determine which function is one-to-one?

a)

b)

c)

d)

26.

The relation in the graph is..

a)

a function but not a one-to-one function.

b)

a one-to-one function.

c)

not a function

27.

When finding the inverse of a relation,

1st: 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

28.

Find the inverse of $f(x)=\frac{x-5}{3}$

a)

$f^{-1}(x)=\frac{3}{5}+x$

b)

$f^{-1}(x)=3x+5$

c)

$f^{-1}(x)=5x+3$

29.

Find the inverse of $f(x)=2x+1$

a)

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

b)

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

c)

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

30.

Find the inverse of $f(x)=10+7x$

a)

$f^{-1}(x)=\frac{x-7}{10}$

b)

$f^{-1}(x)=\frac{x-10}{7}$

c)

$f^{-1}(x)=\frac{1}{10+7x}$

31.

$f\left(x\right)=9-3x$

$g\left(x\right)=5x-7$

Find $f\left(x\right)+g\left(x\right)$

a)

$14x-10$

b)

$-8x+2$

c)

$2x+2$

d)

$2x-2$

32.

$f\left(x\right)=x^2+4x$

$g\left(x\right)=-x-5$

Find $f\left(x\right)+g\left(x\right)$

a)

$x^2+3x-5$

b)

$-x^3+2x-7$

c)

$x^3+3x-3$

d)

$x^2-3x-5$

33.

Two functions are given.

$f\left(x\right)=x^2+3x$

$g\left(x\right)=2x$

Find $f\left(x\right)-g\left(x\right)$ .

a)

$-x^2+x$

b)

$x^2+x$

c)

$-x^2-x$

d)

$-2x^2-5x-5$

34.

Two functions are given.

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

$g\left(x\right)=3x+5$

Find $f\left(x\right)\ -\ g\left(x\right)$ .

a)

$x\ +\ 1$

b)

$-x-1$

c)

$-x+1$

d)

$x^2-4x-3$

35.

Evaluate r(3)

a)

r(3) = 16

b)

r(3) = 12

c)

r(3) = 13

d)

r(3) = 0

36.

What is the domain?

a)

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

b)

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

c)

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

d)

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

e)

None of the answer choices

37.

What is the range?

a)

[-3, 4]

b)

(-3, 4)

c)

(-3, 4]

d)

(-2, 3]

e)

[4, -3]

38.

In interval notation, positive and negative ∞ are always closed in by ______.

a)

( ) Parentheses

b)

[ ] Square Brackets

c)

{ } Curly Brackets

39.

Evaluate r(3)

a)

r(3) = 16

b)

r(3) = 12

c)

r(3) = 13

d)

r(3) = 0

40.

This line will help Daniel with both fighting and detailing cars:

a)

"Wax on, wax off."

b)

"Karate for defense only."

c)

"What's a matter, you some kind of girl or something? Drive a punch!"

d)

"Breathe in, breathe out."

41.

Complete the following quote:
Toto, I ....

a)

don't think we're in Kansas anymore.

b)

think we've left Kansas.

c)

I think Elvis has left the building.

d)

don't know where we are?

42.

Where is he going?

a)

"To infinity and beyond!"

b)

"To the moon!"

c)

"To Disney World!"

d)

"To NY!"

43.

Complete the following quote:
"Yo Adrian, ...

a)

I did it!

b)

I won!

c)

I'm the champ!

d)

what's for dinner?

44.

Robin Williams loved to wish what country a good morning?

a)

Vietnam

b)

Turky

c)

China

d)

Japan

45.

What happens every time a bell rings?

a)

An angel gets his wings.

b)

The fighters go to their corners.

c)

It's time to go to church.

d)

Dinner's ready.

46.

Fill in the blank:
"Play it again _________."

a)

Sam

b)

Joe

c)

Frank

d)

George

47.

"When life get's you down, you know what you gotta do?"

a)

"Just keep swimming."

b)

"Get back up again."

c)

"Keep on moving."

d)

"Get a pizza."

48.

Complete the following quote:
"Here's ..."

a)

"...Johnny!"

b)

"...my cue!"

c)

"...the door!"

d)

"...Jack!"

49.

If something goes wrong while you are traveling through space, you would probably say:

a)

"Houston, we have a problem."

b)

"Cape Canaveral, we have a problem."

c)

"I think we have a problem."

d)

"Does anyone have any duct tape?"

50.

What is it that Tom Cruise can't handle?

a)

"You can't handle the truth!"

b)

"You can't handle real combat!"

c)

"You can't handle this court case!"

d)

"You can't handle that car!"

51.

What is Captain Quint going to need?

a)

"You're gonna need a bigger boat."

b)

"You're gonna need a bigger fishing pole."

c)

"You're gonna need a life jacket."

d)

"You're gonna need some help."

52.

Complete the following quote:
"Here's ...

a)

...looking at you."

b)

...to us."

c)

...to you."

d)

...to the memories."

53.

What is the capital of Colorado?

a)

Denver

b)

Juneau

c)

Utah

d)

Boise

54.

What is the capital of Alaska?

a)

Honolulu

b)

Sacramento

c)

Wioming

d)

Juneau

55.

What is the capital of Washington?

a)

Idaho

b)

Olympia

c)

Salt Lake City

d)

Cheyenne

56.

What is the capital of Idaho?

a)

Boise

b)

Salem

c)

Juneau

d)

Nevada

57.

What is the capital of Montana?

a)

Sacramento

b)

Utah

c)

Helena

d)

Honolulu

58.

What is the capital of Oregon?

a)

California

b)

Carson City

c)

Denver

d)

Salem

59.

What is the capital of Wyoming?

a)

Los Angeles

b)

Cheyenne

c)

Salt Lake City

d)

Carson

60.

What is the capital of California?

a)

Sacramento

b)

Honolulu

c)

Seattle

d)

San Jacinto

61.

What is the capital of Nevada?

a)

Boise

b)

Oregon

c)

Denver

d)

Carson

62.

What is the capital of Utah?

a)

Helena

b)

Juneau

c)

Salem

d)

Salt Lake City

63.

What is the capital of Hawaii?

a)

Sacramento

b)

Maui

c)

Honolulu

d)

Seattle

64.

What is the capital of Virginia?

a)

Richmond

b)

Juneau

c)

Frankfort

d)

Oklahoma

65.

What is the capital of West Virginia?

a)

Salt Lake City

b)

Phoenix

c)

Charleston

d)

Honolulu

66.

What is the capital of Arizona?

a)

Sacramento

b)

Helena

c)

Austin

d)

Phoenix

67.

What is the capital of New Mexico?

a)

Santa Fe

b)

Richmond

c)

Nevada

d)

Canberra

68.

What is the capital of Texas?

a)

Charleston

b)

California

c)

Austin

d)

Sacramento

69.

What is the capital of Oklahoma?

a)

Oklahoma City

b)

Oklahoma town

c)

Raleigh

d)

Santa Fe

70.

What is the capital of North Carolina?

a)

Frankfort

b)

Mexico

c)

Honolulu

d)

Raleigh

71.

What is the capital of Kentucky?

a)

Oklahoma City

b)

Arizona

c)

Frankfort

d)

Boise

Functions + Inverses Review

Total questions: 71

Worksheet time: 2hrs 33mins

Similar Resources on Wayground