Question 1

Which of the following best describes the domain of the function $$y = f(x)$$ shown in the graph?

Accepted Answer

$$[-4, 4]$$

Question 2

What is the range of the function $$y = f(x) as $$shown in the graph?

Accepted Answer

$$[-2, 2]$$

Question 3

Which of the following points is a relative maximum for the function $$y = f(x)$$?

Accepted Answer

$$(2, 2)$$

Question 4

On which interval is the function $$y = f(x)$$ increasing?

Accepted Answer

$$[-2, 2]$$

Question 5

What is the value of $$f(0)$$ for the function $$y = f(x)$$?

Accepted Answer

$$0$$

Question 6

Which of the following intervals describes where the function $$y = f(x) is $$constant?

Accepted Answer

The function is not constant on any interval.

Question 7

What is the average rate of change of $$f(x)$$ from $$x = -2 to$$ $$x = 2$$?

Accepted Answer

$$\frac{2 - (-2)}{2 - (-2)} = 1$$

Question 8

Which of the following points is a relative minimum for the function $$y = f(x)$$?

Accepted Answer

$$(-2, -2)$$

Question 9

How many x-intercepts does the function $$y = f(x)$$ have?

Accepted Answer

Three

Question 10

Which of the following best describes the symmetry of the function $$y = f(x)$$?

Accepted Answer

The function is neither even nor odd.

Question 11

If the function $$y = f(x) is $$transformed to $$y = f(x-2) + 1$$, what is the new location of the point $$(2, 2)$$?

Accepted Answer

$$(4, 3)$$

Question 12

What is the slope of the segment connecting $$(-2, -2)$$ and $$(0, 0) on $$the graph?

Accepted Answer

$$1$$

Question 13

Which of the following statements is true about the function $$y = f(x)$$?

Accepted Answer

The function is a piecewise linear function.

Question 14

If $$f(x) is $$reflected over the x-axis, what is the new value of $$f(2)$$?

Accepted Answer

$$-2$$

Question 15

What is the y-intercept of the function $$y = f(x)$$?

Accepted Answer

$$(0, 0)$$

Analyzing a Piecewise Function from Its Graph

Study Guide - Practice Questions