Chapter 2.2, Problem 69E

Hospital costs. Using statistical methods, the financial department of a hospital arrived at the cost equation

$C\left(x\right)=0.00048{\left(x-500\right)}^3+60000100\le x\le 1000$

Where $C\left(x\right)$ is the cost in dollars for handling $x$ case per month.

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

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