Chapter 2, Functions - Section 2.3 - Getting Information from the Graph of a Function - 2.3 Exercises - Page 216: 45

See the explanation

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