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A function and two values of x are given.f(x) = 8 - 7x; x = -1, x = 4Determine the values.f(4)f(-1) =f(4) - f(-1) =4- (-1) =Determine the average rate of change of the function between the given values of x.



Answer :

Answer:

-7

Explanation:

To calculate the average rate of change, we need to calculate those values, so

f(x) = 8 - 7x

f(4) = 8 - 7(4) = 8 - 28 = -20

f(-1) = 8 - 7(-1) = 8 + 7 = 15

Then

f(4) - f(-1) = -20 - 15 = -35

4 - (-1) = 4 + 1 = 5

Then, the average rate of change of the function is

Avg rate = -35/5

Avg rate = - 7

So, the answer is -7

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