Question 1

Which of the following best describes the function shown in the first image?

Accepted Answer

It is a one-to-one function because each $$x-$$value corresponds to exactly one $$y-$$value, and each $$y-$$value corresponds to exactly one $$x-$$value.

Question 2

Which of the following best describes the function shown in the second image?

Accepted Answer

It is a function but not one-to-one because some $$y-$$values correspond to multiple $$x-$$values.

Question 3

Given the piecewise linear function in the third image, which of the following is the correct set of ordered pairs for its inverse?

Accepted Answer

$$\{(-2,-2), (0, -1), (1, 0), (2, 1)\}$$

Question 4

Which of the following statements is true about the function in the second image?

Accepted Answer

The function is not one-to-one, so its inverse is not a function.

Question 5

For the function in the first image, which of the following best describes the domain and range?

Accepted Answer

Question 6

If the function in the third image is reflected over the line $$y = x$$, which of the following statements is true?

Accepted Answer

The reflected graph will pass through the points $$(-2,-2)$$, $$(0,-1)$$, $$(1,0)$$, and $$(2,1).$$

Question 7

Which of the following is the equation for the function shown in the second image?

Accepted Answer

$$y = |x|$$

Question 8

Which of the following is the equation for the function shown in the first image?

Accepted Answer

$$y = x^3$

Question 9

Suppose the function in the third image is $$f(x). $$Which of the following is the correct formula for $$f^{-1}(x$$)$$, its inverse?

Accepted Answer

$$f^{-1}(x$$)$$ is a piecewise linear function with points (-2$$,-2)$$, (0$$,-1)$$, (1$$,0)$$, (2$$,1)$$.

Question 10

Which of the following best describes the symmetry of the function in the second image?

Accepted Answer

It is symmetric about the $$y-$$axis.

Analyzing One-to-One Functions and Their Inverses Using Graphs

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