After eating, a person's metabolic rate changes according to a phenomenon known as the thermic effect of food. In k.J/hour, the thermic effect of food for one person is given by H(t) - -10.28 + 175.9te 1.3. where t is the number of hours that have elapsed since eating a meal. a. Graph the function H(t) for t E [0, 6]. Use an appropriate scale for the y-axis. Identify and label any horizontal or vertical asymptotes. You should include any accompanying calculations. b. Find the average rate of change of H (t) during the first hour after eating. c. Find the instantaneous rate of change of the thermic effect of food exactly one hour after eating. d. Determine when the function stops increasing and begins to decrease. e. Using the graph of the function, explain how an individual's metabolic rate is affected from when they eat food until 12 hours later