Question

the graph of f(x)=2^x+1 is shown below explain how to find the average rate of change between x=1 and x=3

Answer 1

First find the values of f(x) for x = 1 and for x = 3.
Reading off the graph they are f(x) = 3 and f(x) = 9 respectively.
You could also have found thess values by substitution of x in f(x) - eg for x = 1 f(x) =  2^1 + 1 =  3.

Average rate of change  =   difference in f(x) / difference in x = (9 - 3) / (3 - 1) = 6/2 = 3 answer