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

C(x) = 0.00048(x - 500)³ + 60,000    100 ≤ x ≤ 1,000

where C(x) is the cost in dollars for handling x cases 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.

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

Figure 1

Transcribed Image Text:

f(x) h(x) m(x) -5 5 -5 -5 -5 (A) Identity function f(x) = x (B) Square function h(x) = x (C) Cube function m(x) = x Domain: R Domain: R Domain: R Range: R Range: [0, c0) Range: R n(x) p(x) g(x) -5 5 (D) Square root function n(x) = Vx Domain: [0, 0) Range: [0, 0) (E) Cube root function (F) Absolute value function p(x) = VT g(x) = |x| Domain: R Domain: R Range: R Range: [0, 0)