Based on the graphs of fx and gx below answer the following

Based on the graphs of f(x) and g(x) below, answer the following questions. You should not approximate any of your answers. What is the average rate of change of f(x) over the interval 2.2 x 6.1 ? What is the average rate of change of g(x) over the interval 2.2 x 6.1?

Solution

From the graph

a

the average rate of change of f(x) on the intervel 2.2<=x<=6.1

= (f(b)-f(a)) / (b-a)

=(f(6.1)-f(2.2)) / (6.1-2.2)

=(4.9-2.9) /3.9

=0.5128

b

The average rate of change of g(x) on the interval 2.2<=x<=6.1

= (g(6.1)-g(2.2)) / (6.1-2.2)

=(4.9-2.9) /(6.1-2.2)

= 2/3.9

=0.1528