Chapter 2.5, Problem 24E

Exercises 19-24 Critical Thinking (Refer to Example 1) The graph of $\text{y}=f\left(x\right)$ is shown. Complete the following and use interval notation when appropriate.

a. Identity any x-intercepts or y-intercepts

b. Determine the x-values that satisfy $f\left(x\right)>0,f\left(x\right)<0,\text{ or}f\left(x\right)=0$

c. How do the x-intercepts relate to the solution to the equation $f\left(\text{x}\right)=0$ in part (b)?

d. Where is f increasing and where is f decreasing?

e. Is function f ever positive and decreasing on the same interval? Explain

f. Give the domain and range of f.