Question 1

Given the first graph, what is the domain of $$f(x)$$?

Accepted Answer

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

Question 2

For the first graph, on which interval is $$f(x)$$ increasing?

Accepted Answer

$$(-5, -2)$$ and $$(1, 3)$$

Question 3

For the first graph, at which $$x-$$value does $$f(x)$$ attain a relative maximum?

Accepted Answer

$$x = -3$$

Question 4

For the first graph, what is the range of $$f(x)$$?

Accepted Answer

$$(-5, 5]$$

Question 5

For the second graph, what is the $$y-$$intercept of $$f(x)$$?

Accepted Answer

$$y = 3$$

Question 6

For the second graph, on which interval is $$f(x)$$ decreasing?

Accepted Answer

$$(1, 3)$$

Question 7

For the second graph, what is the value of $$f(-2)$$?

Accepted Answer

$$f(-2) = 1$$

Question 8

For the third graph, on which interval is $$f(x)$$ constant?

Accepted Answer

$$(-3, 3)$$

Question 9

For the third graph, what is the range of $$f(x)$$?

Accepted Answer

$$[-2, 2]$$

Question 10

Which of the following best describes the symmetry of the third graph?

Accepted Answer

Even function

Question 11

For the first graph, which interval contains a relative minimum?

Accepted Answer

$$(0, 2)$$

Question 12

For the second graph, what is the domain of $$f(x)$$?

Accepted Answer

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

Question 13

For the first graph, is $$f(x)$$ even, odd, or neither?

Accepted Answer

Neither

Question 14

For the third graph, what is $$f(0)$$?

Accepted Answer

$$f(0) = 2$$

Question 15

For the first graph, what are the $$x-$$intercepts?

Accepted Answer

$$x = -4, 0, 4$$

Study Guide: Analyzing Functions and Their Graphs (College Algebra)

Study Guide - Practice Questions