Chapter 4.4, Problem 3ES

In each part, sketch the graph of a continuous function $f$ with the stated properties on the interval $\left[0,10\right]$ .

(a) $f$ has an absolute minimum at $x=0$ and an absolute maximum at $x=10$ .

(b) $f$ has an absolute minimum at $x=2$ and an absolute maximum at $x=7$ .

(c) $f$ has relative minima at $x=1$ and $x=8,$ has relative maxima at $x=3$ and $x=7,$ has an absolute minimum at $x=5,$ and has an absolute maximum at $x=10$ .