Chapter 4.1, Problem 79E

Growth of Managed Services Almost half of companies let other firms manage some of their Web operations—a practice called Web hosting. Managed services—monitoring a customer’s technology services—is the fastest-growing part of Web hosting. Managed services sales are approximated by the function

f(t) = 0.469t² + 0.758t + 0.44 (0 ≤ t ≤ 10)

where f(t) is measured in billions of dollars and t is measured in years, with t = 0 corresponding to 1999.

1. a. Find the interval where f is increasing.
2. b. What does your result tell you about sales in managed services from 1999 through 2009?

Source: International Data Corp.