Quiz about Inverse Functions Final

Question 1

What is the relationship between the parent function and its inverse?

Accepted Answer

The inverse of a function reverses the effect of the original function.

Answer

The inverse of a function is only defined for linear functions.

Answer

The inverse of a function has no effect on the output of the original function.

Answer

The inverse of a function is always the same as the original function.

Question 2

Is the original function and its inverse the same?

Accepted Answer

False

Answer

True

Question 3

What is the inverse function of y=3x-5?

Accepted Answer

$$y=\frac{\left(x+5\right)}{3}$$

Answer

y = 3(x + 5)

Answer

$$y=\frac{\left(x-5\right)}{3}$$

Answer

y = 3x + 5

Question 4

The graph of the original function and its inverse are symmetric with respect to?

Accepted Answer

the line y = x

Answer

the line y = 0

Answer

the line x = 0

Answer

the line y = 2x

Question 5

What is the inverse function of y=2x+5?

Accepted Answer

$$y=\frac{\left(x-5\right)}{2}$$

Answer

$$y=\frac{x}{2}-5$$

Answer

y = 5 - 2x

Answer

y = 2(x - 5)

Question 6

What is the inverse function of $$y=\frac{x-1}{4}$$

Accepted Answer

y = 4x + 1

Answer

$$y=\frac{\left(x-4\right)}{1}$$

Answer

y = 4x - 1

Answer

$$y=\frac{\left(x+1\right)}{4}$$

Question 7

If the function f(x) = 4x + 7, what is the inverse function?

Accepted Answer

$$y=\frac{x-7}{4}$$

Answer

y = 4x - 7

Answer

y = 4(x + 7)

Answer

$$y=\frac{x+7}{4}$$

Question 8

Which of the following statements is true about the graph of a function and its inverse?

Accepted Answer

They are symmetric about the line y = x.

Answer

They never intersect.

Answer

They are symmetric about the y-axis.

Answer

They are always parallel.

Question 9

What is the inverse function of $$y=\frac{x-2}{5}$$ ?

Accepted Answer

$$y=5x+2$$

Answer

$$y=5x+10$$

Answer

$$y=5x-10$$

Answer

$$y=5x-2$$

Question 10

Which graph shows the inverse of the graph above?

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 11

Which graph below is the inverse of f(x)=3x + 1 ?

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 12

What is the inverse function of y = 5x + 3?

Accepted Answer

$$y=\frac{x-3}{5}$$

Answer

$$y=\frac{x+3}{5}$$

Answer

y = 5x - 3

Answer

y = 3x + 5

Inverse Functions Final

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