Quiz about Finding Inverse Algebraically

Question 1

When creating an inverse you must...

Accepted Answer

Switch the x and y

Answer

Solve for x

Answer

Draw a graph

Answer

Potato

Question 2

What is the first step in finding the equation of the inverse of a function?

Accepted Answer

switch x and y

Answer

get x by itself

Answer

solve for y

Answer

write the function in inverse function notation

Question 3

Are these functions inverses?

Accepted Answer

Yes

Answer

No

Question 4

Are these the graphs of two inverse functions?

Accepted Answer

Yes

Answer

No

Answer

No way to tell

Question 5

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

Accepted Answer

f -1(x)

Answer

f 2(x)

Answer

f '(x)

Answer

f +(x)

Question 6

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 7

Question 7.

Accepted Answer

Not Inverse Functions

Answer

Inverse Functions

Question 8

If the point (-7,5) lies on the graph of f(x) , which of the following points must lie on the graph of its inverse?

Accepted Answer

(5,-7)

Answer

(-1/7,1/5)

Answer

(7,-5)

Answer

(1/7,-1/5)

Question 9

The function y=f(x) has an inverse function $$y=f^{-1}\left(x\right)$$ . If f(a)=-b then which of the following must be true?

Accepted Answer

$$f^{-1}\left(-b\right)=a$$

Answer

$$f^{-1}\left(-b\right)=-a$$

Answer

$$f^{-1}\left(\frac{1}{a}\right)=-\frac{1}{b}$$

Answer

$$f^{-1}\left(b\right)=-a$$

Question 10

Question 10.

Accepted Answer

Inverse Functions

Answer

Not Inverse Functions

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