The table shows values of a function π(π₯). The graph shows a function π(π₯).

x 4 5 6 7 8 9 10 π(π₯)

-8 -4 8 10 11 14 18

a) What is the average rate of change of π(π₯) over the interval from x = 5 to x = 9? Show your work

(3 points).

b) Find the average rate of change of π(π₯) over the interval from x = 0.25 to x = 1. Write your answer as a simplified fraction. Show your work (3 points).

c) If π(π₯) represents the height of a ball that was thrown up into the air, interpret your answer from part b) in terms of the real-world situation it represents (3 points).

Guest Apr 1, 2022