Chapter 2.2, Problem 77E

Safety research. Under ideal conditions, if a person driving a vehicle slams on the brakes and skids to a stop, the speed of the vehicle $v\left(x\right)$ (in miles per hour) is given approximately by $v\left(x\right)=C\sqrt{x}$, where $x$ is the length of skid marks (in feet) and $C$ is a constant that depends on the road conditions and the weight of the vehicle. For a particular vehicle,

$v\left(x\right)=7.08\sqrt{x}\text{ and }4\le x\le 144$.

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

(b) Sketch a graph of function $v$ using part (A) as an aid.