Quiz about Inverses and Invertible Functions

Question 1

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 2

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 3

The inverse has been reflected over which line?

Accepted Answer

y = x

Answer

y =1

Answer

y = 0

Answer

y = x + 1

Question 4

Are these functions inverses?

Accepted Answer

Yes

Answer

No

Question 5

The inverse has been reflected over which line?

Accepted Answer

y = x

Answer

y =1

Answer

y = 0

Answer

y = x + 1

Question 6

The inverse has been reflected over which line?

Accepted Answer

y = x

Answer

y =1

Answer

y = 0

Answer

y = x + 1

Question 7

Will the inverse of this function, be a function?

Accepted Answer

No

Answer

Yes

Answer

No way to tell

Question 8

Will the inverse of this function be a function?

Accepted Answer

Yes

Answer

No

Answer

No way to tell

Question 9

Are these functions inverses?

Accepted Answer

No

Answer

Yes

Answer

No way to tell

Question 10

Is the inverse function found correctly?

Accepted Answer

yes

Answer

no

Question 11

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 12

Question 12.

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 13

Question 13.

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 14

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 15

Are the following inverses of each other?

Accepted Answer

True

Answer

False

Question 16

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

Accepted Answer

False

Answer

True

Question 17

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

Inverses and Invertible Functions

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