The manufacturer of the bicycle helmets in Problem 67 is willing to supply x helmets at a price of p(x) as given by the equation

p(x) = 4√x       9 ≤ x ≤ 289

(A) Describe how the graph of function p can be obtained from the graph of one of the basic functions in Figure 1.
(B) Sketch a graph of function p using part (A) as an aid.

Problem 67

A retail chain sells bicycle helmets. The retail price p(x) (in dollars) and the weekly demand x for a particular model are related by

p(x) = 115 - 4√x       9 ≤ x ≤ 289

Figure 1

Transcribed Image Text:

-5 f(x) -5 5 -5- (A) Identity function f(x) = x Domain: R Range: R n(x) 5 5 (D) Square root function n(x) = Vx Domain: [0,00) Range: [0, ) X -5 h(x) (B) Square function h(x)=x Domain: R Range: [0, 0) p(x) 5 (E) Cube root function p(x) = x Domain: R Range: R 5 X -5 m(x) (C) Cube function m(x) = x Domain: R Range: R -5 g(x) 5 (F) Absolute value function g(x) = |x| Domain: R Range: [0, 0)