How do I find the average rate of change of the function from x1 to x2?

Question

The function is f(x)= -2x + 15 and x1= 0, x2= 3

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Answer 1 · 2017-11-30T01:01:45

The average rate of change is #-2#.

Average rate of change is Algebra I slope, so

#m = (f(3)-f(0))/(3-0) = (9-15)/3=-2#.

In this case #f(x)# is linear, so the average rate of change will be equal to the slope of the line on all intervals.