Chapter 2, Functions - Section 2.3 - Getting Information from the Graph of a Function - 2.3 Exercises - Page 216: 46

See the explanation

a. local minimum at $(-1, 0)$ and $(2, -1)$, local maximum at $(-2, 3)$ and $(1, 2)$ b. $f(x)$ is Increasing for $(-\infty, -2)$, $f(x)$ is Decreasing for $(-2, -1)$, $f(x)$ is Increasing for $(-1, 1)$, $f(x)$ is Decreasing for $(1, 2)$, $f(x)$ is Increasing for $(2, \infty)$