Question 1

For the function shown in the first graph, what is the domain?

Accepted Answer

$$(-\infty, \infty)$$

Question 2

For the function shown in the first graph, what is the range?

Accepted Answer

$$[-4, 5]$$

Question 3

Which of the following intervals is the function in the first graph increasing?

Accepted Answer

$$(-5, -2)$$

Question 4

At which x-value does the function in the first graph have a relative maximum?

Accepted Answer

$$x = -3$$

Question 5

For the function in the second graph, what is the y-intercept?

Accepted Answer

$$y = 3$$

Question 6

On which interval is the function in the second graph decreasing?

Accepted Answer

$$(1, 3)$$

Question 7

For the function in the second graph, what is the relative maximum value?

Accepted Answer

$$y = 4$$

Question 8

For the function in the third graph, what is the domain?

Accepted Answer

$$(-\infty, \infty)$$

Question 9

On which interval is the function in the third graph constant?

Accepted Answer

$$(-2, 2)$$

Question 10

For the function in the third graph, what is the value of $$f(0)$$?

Accepted Answer

$$f(0) = 2$$

Question 11

Which of the following best describes the symmetry of the function in the first graph?

Accepted Answer

Neither

Question 12

For the function in the second graph, what is $$f(-2)$$?

Accepted Answer

$$f(-2) = 1$$

Question 13

For the function in the third graph, on which interval is the function decreasing?

Accepted Answer

$$(2, 5)$$

Question 14

Which of the following is true about the zeros of the function in the first graph?

Accepted Answer

There are three zeros at $$x = -4$$, $$x = 0$$, and $$x = 3$$

Question 15

For the function in the third graph, what is the range?

Accepted Answer

$$[-2, 2]$$

Question 16

Which of the following best describes a piecewise function?

Accepted Answer

A function defined by two or more equations over specified domains

Question 17

If $$f(x) is an $$even function, which of the following must be true?

Accepted Answer

$$f(-x) = f(x)$$

Question 18

If $$f(x) is an $$odd function, which of the following must be true?

Accepted Answer

$$f(-x) = -f(x)$$

Question 19

Which of the following best describes a relative minimum?

Accepted Answer

A point where the function changes from decreasing to increasing

Question 20

Which of the following intervals is the function in the first graph constant?

Accepted Answer

$$(1, 2)$$

Analyzing Functions and Their Graphs – College Algebra Guidance

Study Guide - Practice Questions