Answer:
To get a more specific answer, you'll need a specific function formula.
Step-by-step explanation:
The average rate of change in a function is the slope of a segment connecting two points on the graph of the function. If a formula (rule) for the function is given, then a graph is not usually necessary.
Example: Given the function [tex]f(x)=x^2[/tex], what is the average rate of change on the interval [tex][-3,1][/tex]?
Find the value of the function at each endpoint.
[tex]f(-3)=9\\f(-1)=1[/tex]
Then find
[tex]\frac{f(-1)-f(-3))}{-1-(-3)}=\frac{1-9}{-1+3}=\frac{-8}{2}=-4[/tex]
The average rate of change in f on the interval is 4.
