Quiz about Finding Nonlinear Inverses with Domain Restrictions

Question 1

What is the inverse function for the function shown in the graph if the domain restriction is $$x\ge-3$$ ?

Accepted Answer

$$y=-3+\sqrt[]{x+4}$$

Answer

$$y=\sqrt[]{x-4}+3$$

Answer

$$y=-3-\sqrt[]{x+4}$$

Answer

$$y=-\sqrt[]{x-4}+3$$

Answer

$$y=\sqrt[]{x+3}-4$$

Question 2

Choose all that are correct. Which statements about inverses are correct?

Accepted Answer

The inverse of a square root is a quadratic with a domain restriction.

Accepted Answer

The graph of $$y=f^{-1}\left(x\right)$$ is the reflection of the graph $$y=f\left(x\right)$$ over the line y=x

Accepted Answer

The range of $$y=f^{-1}\left(x\right)$$ is the domain of $$y=f\left(x\right)$$

Answer

The range of $$y=f\left(x\right)$$ is also the range of $$y=f^{-1}\left(x\right)$$

Question 3

What is the inverse function of a quadratic (x²)?

Accepted Answer

A square root function

Answer

2x

Answer

Another quadratic

Answer

A linear function

Question 4

Which equation below must have a restricted domain, in order to find the inverse function?

Accepted Answer

$$y=4x^2$$

Answer

$$y=4x$$

Answer

$$y=4^x$$

Answer

$$y=\log_4\left(x\right)$$

Question 5

Restricting the domain is another way to say restricting the...

Accepted Answer

x-values

Answer

y-values

Answer

Odd numbers

Answer

Even numbers

Question 6

Will the inverse of this function, be a function?

Accepted Answer

No

Answer

Yes

Answer

No way to tell

Question 7

Are these inverse functions?

Accepted Answer

yes

Answer

no

Answer

no way to tell

Question 8

What's the name of the inverse of g(x)?

Accepted Answer

g-1(x)

Answer

f(x)

Answer

f-1(x)

Answer

y

Question 9

Suppose you are given a table of values. When creating a table for the inverse graph you must...?

Accepted Answer

Switch the x and y

Answer

Solve for x

Answer

Plot the coordinates

Answer

Potato

Question 10

Are these functions inverses?

Accepted Answer

Yes

Answer

No

Question 11

Select the table that represents the inverse of this relation:

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 12

Are the purple and green graphs inverses?

Accepted Answer

yes

Answer

no

Answer

no way to tell

Question 13

Are the purple and green graphs inverses?

Accepted Answer

no

Answer

yes

Answer

no way to tell

Finding Nonlinear Inverses with Domain Restrictions

19 questions

Match the following domain restrictions of the inverse given the square root function.

Choose all that are correct. Which statements about inverses are correct?

What is the inverse function of a quadratic (x²)?

Find the inverse of the function including any restriction on domain

Which equation below must have a restricted domain, in order to find the inverse function?

Find the inverse of the function including any restriction on the domain.

Restricting the domain is another way to say restricting the...

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Finding Nonlinear Inverses with Domain Restrictions

19 questions

Match the following domain restrictions of the inverse given the square root function.

Choose all that are correct. Which statements about inverses are correct?

What is the inverse function of a quadratic (x2)?

Find the inverse of the function including any restriction on domain

Which equation below must have a restricted domain, in order to find the inverse function?

Find the inverse of the function including any restriction on the domain.

Restricting the domain is another way to say restricting the...

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

What is the inverse function of a quadratic (x²)?