Chapter 4.3, Problem 48E

(a)

To determine

To check: Whether the function $p\left(x\right)=\frac{1}{4}{x}^2+20$ is one-to-one or not.

(b)

To determine

To find: The domain of the function $p\left(x\right)=\frac{1}{4}{x}^2+20$ in the given context.

(c)

To determine

To check: Whether the function $p\left(x\right)=\frac{1}{4}{x}^2+20$ is one-to-one for the domain in part (b).

(d)

To determine

To find: The inverse of the function $p\left(x\right)=\frac{1}{4}{x}^2+20$ and the number of units the manufacturer is willing to supply if the price is $101.