Question

Based on the graphs of f(x) and g(x) below, answer the following questions.

Answer 1

To solve this question we will use the following formula for the average rate of change of a function h(x) over the interval a
`\Delta_(a,b)h=(h(b)-h(a))/(b-a)\text{.}`a) From the given graph we get that f(2.2)=2.9, and f(6.1)=4.9, therefore:

`\begin{gathered} \Delta_{2.2,\text{ 6.1}}f=(f(6.1)-f(2.2))/(6.1-2.2)=(4.9-2.9)/(6.1-2.2) \\ =(2)/(3.9)=(20)/(39). \end{gathered}`

b) From the given graph we get that g(2.2)=2.9, and g(6.1)=4.9, therefore:

`\begin{gathered} \Delta_{2.2,\text{ 6.1}}g=(g(6.1)-g(2.2))/(6.1-2.2)=(4.9-2.9)/(6.1-2.2) \\ =(2)/(3.9)=(20)/(39). \end{gathered}`

Answer:

a)

`(20)/(39)\text{.}`

b)

`(20)/(39)\text{.}`