The table shows values of a function 𝑓(𝑥). The graph shows a function 𝑔(𝑥).
x 4 5 6 7 8 9 10 𝑓(𝑥)
-8 -4 8 10 11 14 18
a) What is the average rate of change of 𝑓(𝑥) over the interval from x = 5 to x = 9? Show your work
b) Find the average rate of change of 𝑔(𝑥) over the interval from x = 0.25 to x = 1. Write your answer as a simplified fraction. Show your work (3 points).
c) If 𝑔(𝑥) 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).