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The table shows values of function f(x). The graph shows the function g(x).
What is the average rate of change of f(x) over the interval from x=2 to x=6?
Find the average rate of change of g(x) over the interval from x=0 to x=4.
What is the difference between the two functions? Which one is moving more quickly? What does it mean to have a negative answer?

The Table Shows Values Of Function Fx The Graph Shows The Function Gx What Is The Average Rate Of Change Of Fx Over The Interval From X2 To X6 Find The Average class=

Sagot :

The average rate of change for f(x) and g(x) are respectively 2.25 and -2 and so we can say that f(x) is moving more quickly.

How to find the average rate of Change?

Formula for the average rate of change is;

f'(x) = (f(b) - f(a))/(b - a)

Thus;

1)  Average rate of change of f(x) over the interval from x = 2 to x = 6 is;

f'(x) = (f(6) - f(2))/(6 - 2)

We are given;

f(6) = 10 and f(2) = 1

Thus; f'(x) = (10 - 1)/4 = 2.25

2)  Average rate of change of g(x) over the interval from x = 0 to x = 4 is;

g'(x) = (g(4) - g(0))/(4 - 0)

We are given;

g(4) = 0 and g(0) = 8

Thus; g'(x) = (0 - 8)/4 = -2

3) From the average rate of change of both functions, we see that f(x) is positive and has a higher rate of change and so we can say that f(x) is moving more quickly.

Read more about Average rate of change at; https://brainly.com/question/8728504

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