Chapter 2.2, Problem 70E

Price-demand. A company manufactures and sells in-line skates. Its financial department has established the price demand function

$p\left(x\right)=190-0.013{\left(x-10\right)}^{2}10\le x\le 100$

Where $p\left(x\right)$ is the price at which $x$ thousand pairs of in-line skates can be sold.

(a) Describe how the graph of function $p$ can be obtained from the graph of one of the basic functions in Figure $1$ on page $58$.

(b) Sketch a graph of function $p$ using part (A) and a graphing calculator as aids.