Chapter 4 - Applications of the Derivative - 4.1 Maxima and Minima - 4.1 Exercises - Page 242: 19

See the graph.

Note that $f '(x) = 0$ for $x = 1$ and $2$ since tangent is parallel to X-axis at $x=1$ and $2$; $f$ has an absolute maximum at $x = 4$; $f$ has an absolute minimum at $x = 0$; and $f$ has a local minimum at $x = 2$ .