MHF4U Chapter 2 Summative Name: 29 1. [2.5] For a certain function, as x - a", f(x) - 0 from below. As x - a", f(x) - 0 from above. Draw a rough sketch of the function at x = a. [2] 2. [2.5] For a certain function, as x - a", the instantaneous rate of change approaches 0 from above. As x - a*, the instantaneous rate of change approaches O from below. Draw a rough sketch of the function at x = a. [2] 3. [2.1 & 2.2] The size of a crowd is growing to watch a hockey game. The crowd's population t minutes after 6:00pm is shown. Time, c [minutes) 0 5 15 20 25 30 Population, I 50 100 400 BOO 1600 3200 Determine the average rate of change in population for the interval 5 s t $ 20. Show your work. bj Interpret the meaning of your answer in this context. [6] cj i) State a strategy you would use to estimate the instantaneous rate of change in population at 6:15pm. ill State the data you would use from the table above. ill) Explain why you chose this strategy