Quiz about Inverses

Question 1

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

Accepted Answer

(4, 1) and (6, 4)

Answer

(1, 4) and (4, 6)

Answer

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

Answer

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

Question 2

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 3

Was the inverse function found correctly?

Accepted Answer

no,

Answer

yes

Question 4

What is the inverse of the points
(1,3)(2,4)(6,8)

Accepted Answer

(3,1)(4,2)(8,6)

Answer

(-3,-1)(-4,-2)(-8,-6)

Answer

(1,3)(2,4)(6,8)

Answer

(-1,-3)(-2,-4)(-6,-8)

Question 5

Are these functions inverses?

Accepted Answer

Yes

Answer

No

Question 6

Are the following inverses of each other?

Accepted Answer

False

Answer

True

Question 7

Was the inverse function found correctly?

Accepted Answer

no

Answer

yes

Question 8

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

Accepted Answer

-25

Answer

25

Answer

7

Answer

No enough information.

Question 9

Are these functions inverses?

Accepted Answer

No

Answer

Yes

Answer

No way to tell

Question 10

Are these inverse functions?

Accepted Answer

no

Answer

yes

Answer

no way to tell

Question 11

Are the blue and red graphs inverse functions?

Accepted Answer

yes

Answer

no

Answer

no way to tell

Question 12

If f(x) = 3x-9, what is f^-1(12)?

Accepted Answer

7

Answer

25

Answer

9

Answer

11

Question 13

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?

Accepted Answer

g(-1) = 2

Answer

g(-2) = 0

Answer

g(1) = 1

Answer

g(-2) = -3

Question 14

In an inverse function, the _____ and _______ are switched from the original

Accepted Answer

input and output

Answer

f(x) and g(x)

Answer

positives and negatives

Answer

slope and intercept

Question 15

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

Accepted Answer

-5

Answer

-1

Answer

1

Answer

5

Question 16

Is the inverse function found correctly?

Accepted Answer

yes

Answer

no

Question 17

The inverse has been reflected over which line?

Accepted Answer

y = x

Answer

y =1

Answer

y = 0

Answer

y = x + 1

Question 18

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

Accepted Answer

-1

Answer

1

Answer

2

Answer

-2

Question 19

Question 19.

Accepted Answer

FALSE

Answer

TRUE

Question 20

If f(x)=x+5, what is f^-1(x)?

Accepted Answer

x - 5

Answer

(x + 5)2

Answer

(x + 5)-1

Answer

undefined

Question 21

Question 21.

Accepted Answer

Not Inverse Functions

Answer

Inverse Functions

Question 22

Which of the following is NOT TRUE about inverse functions?

Accepted Answer

The domain of a function always becomes the domain of its inverse.

Answer

Inverse functions are reflections of each other over the line y = x.

Answer

You find the inverse by switching x and y in the equation.

Answer

The domain of a function always becomes the range of its inverse.

Question 23

What is the best description?

Accepted Answer

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

Answer

They are both functions, but not inverse functions.

Answer

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

Answer

They are inverse functions.

Question 24

What's the best description?

Accepted Answer

They are inverse functions.

Answer

They are both functions, but not inverse functions.

Answer

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

Answer

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

Question 25

What is the best description?

Accepted Answer

They are inverse functions.

Answer

They are both functions, but not inverse functions.

Answer

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

Answer

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

Question 26

What is the best description?

Accepted Answer

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

Answer

They are both functions, but not inverse functions.

Answer

They are inverse functions.

Answer

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

Question 27

Which graph represents the functions f(x) and f^-1(x)?

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 28

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

Accepted Answer

the x's and y's are switched

Answer

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

Answer

the x's and y's are made negative

Answer

the x's and y's are the same

Question 29

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?

Accepted Answer

solve for y

Answer

replace y with f^-1(x)

Answer

solve for x

Answer

find the greatest common factor

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