Steven L.

asked • 12/15/21

Determine the average rate of change for the function. h(x) = -3/4x + 1.

A. -3/4.


B. 3/4.


C. -1.


D. 1.

Mark M.

Through which two values of x? On what interval?
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12/15/21

Mario S.

I think you need to just double check the details of the problem. Average rate of change of a function depends on change from x=a to x=b. The problem does not specify the change from one x value to another.
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12/15/21

1 Expert Answer

By:

Patrick T. answered • 12/15/21

Tutor
5 (16)

Masters in Electrical Engineering, Precalculus Tutor.
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Hello Steven,


The function you're given for h(x)... is a linear function [ see how it looks like mx + b? m = slope, which equals -3/4 here]


As a rule of thumb, the average rate of change of a linear function is the slope of that linear function.


What is the slope of (-3/4)*x +1? It is -3/4. Therefore, the average rate of change of h(x) is -3/4.


Cheers.

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