Answer:
Average rate of change
[tex]\frac{f(4)-f(1)}{3}[/tex]
Step-by-step 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:
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
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:
[tex]\frac{f(b)-f(a)}{b-a}=\frac{f(4)-f(1)}{4-1} =\frac{f(4)-f(1)}{3}[/tex]
