Chapter 1.PPS, Problem 7P

The notation max $\{a,b,\mathrm{...}\}$ means the largest of the numbers a, b,… Sketch the graph of each function.

(a) $f\left(x\right)=\max \{x,1/x\}$

(b) $f\left(x\right)=\max \{\sin x,\cos x\}$

(c) $f\left(x\right)=\max \{x^2,2+x,2-x\}$