College Algebra, Chapter 3, 3.3, Section 3.3, Problem 34

Below is the graph of $f$.

"Please refer in the textbook."

(a) Determine all the maximum and minimum values of the function and the value of $x$ at which each occurs. (b) Find the intervals on which the function is increasing and on which the function is decreasing.

a.) Based from the graph, the maximum values 3 and 2 occurs when $x$ is -2 and 1 respectively. While the minimum values 0 and -1 occurs when $x$ is -1 and 2 respectively.

b.) Based from the graph, $f$ is increasing on the intervals $(- \infty, -2), (-1, 1)$ and $(2, \infty)$. On the other hand, $f$ is decreasing on the intervals $(-2, -1)$ and $(1, 2)$.