The metabolic rate of a person who has just eaten a meal tends to go up and then, after some time has passed, returns to a resting metabolic rate. This phenomenon is known as the thermic effect of food. Researchers have indicated that the thermic effect of food (in kJ/hr) for a particular person is

F(t) = -10.28 + 175.9te^-t/1.3,
where t is the number of hours that have elapsed since eating a meal.

(a) Graph the function on 30, 64 by 3-20, 1004.
(b) Find the average rate of change of the thermic effect of food during the first hour after eating.

(c) Use a graphing calculator to find the instantaneous rate of change of the thermic effect of food exactly 1 hour after eating.
(d) Use a graphing calculator to estimate when the function stops increasing and begins to decrease.