Question: Surgeries in physicians' offices driven by technological advances and financial pressures, the number of surgeries performed in physicians' offices nationwide has been increasing over the years. The function
f(t) = -0.00447t3 + 0.09864t2 + 0.05192t + 0.8 (0 ≤ t ≤ 15)
Gives the number of surgeries (in millions) performed in physicians' offices in year t, with t 0 corresponding to the beginning of 1986.
A. Plot the graph of f in the viewing window [0, 15] × [0, 10].
B. Prove that f is increasing on the interval [0, 15].