Question

What is the average rate of change of f(x) from 1 to 4?

Help???

Answer 1

-80

Explanation:

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Answer 2

Average rate of change

`(f(4)-f(1))/(3)`

Explanation:

To calculate an average rate of change of a function over a range can be calculated as the slope of the the secant line between the two points that defined the range (see figure attached).

The slope can be expressed as:

`(f(b)-f(a))/(b-a)`

where a and b are the limits of the range in which we want to calculate the average rate of change.

In this case, for f(x) from 1 to 4 is:

`(f(b)-f(a))/(b-a)=(f(4)-f(1))/(4-1) =(f(4)-f(1))/(3)`