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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).

 Apr 1, 2022
 #1
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the rate of change from x=5 to x=9 is 2

 Apr 4, 2022

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