5. Consider the functions 1, x 4 (4x-10, x 4 f(x) = -1, x = 4 and g(x) = -6, x = 4 In each part, is the given function continuous at x = 4? (a) f(x) (b) g(x) (c) − g(x) (d) |f(x)| (e) f(x)g(x) (f) g(f(x)) (g) g(x) — 6f(x)

Find f(1) and f(2). f(x)=xx1

How do the graphs of the functions f(x)=x2 and f(x)=x21 differ? We graphed them at the start of this section. What is the difference between their graphs? How are their graphs the same?

A company that makes and sells baseball caps has found that the total monthly cost C in dollars of producing x caps is given by the function C(x)=0.2x280x+9000. Find the production level that will minimize the monthly cost and find the minimum cost.