What is the average rate of change of g(x)=2x-3 between the points (-2, -7) and (3, 3)?

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jeew-m's profile pic

jeew-m | College Teacher | (Level 1) Educator Emeritus

Posted on

Rate of change of a function f(x) at any point is given by the first derivative of that point.

Since this is a linear function you should have only one rate of change at every point and it is given by the first derivative of the function.

`g(x) = 2x-3`

`g'(x) = 2`

 

As said earlier we have only one rate of change. It is 2.

lfryerda's profile pic

lfryerda | High School Teacher | (Level 2) Educator

Posted on

The average rate of change is equivalent to finding the slope for linear functions.  In this case slope of the function `g(x)=2x-3` is 2 since it is in slope-intercept form.

The average rate of change of g(x) from (-2,-7) to (3,3) is 2.

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