For full credit, follow all instructions and use the procedures taught by your teacher in class. Total score: of 27 points g (x) (Score for Question 1: of 9 points) 1. The table shows values of a function f (x). The graph shows a function g (x). Height (feet) - 3 X 4 5 6 7 8 9 10 - 2 f (x) -8 -4 8 10 11 14 18 0.25 0.5 0.75 1 1.25 1.5 a) What is the average rate of change of f (x) over the interval from x = 5 to x = 9? Show your work Time (seconds) (3 points). 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)