Manufacturing capacity data show that the annual increase

Question

Question: Manufacturing capacity data show that the annual increase in manufacturing capacity between 1994 and 2000 is given by

f(t) = 0.009417t³ - 0.425671t² + 2.74894t + 5.54                   (0 ≤ t ≤ 6)

Percent where t is measured in years, with t 0 corresponding to the beginning of 1994.

A. Plot the graph of f in the viewing window [0, 6] × [0, 11].

B. Determine the interval where f is increasing and the interval where f is decreasing and interpret your result.