Question

URGENT!! Given the function g(t) shown in the graph below, find the average rate of change in the interval [0,3]

Answer 1

The average rate of change in the interval [0,3] is 1

Explanation:

we know that

To find the average rate of change, we divide the change in the output value by the change in the input value

`(g(t2)-g(t1))/(t2-t1)`

In this problem we have

The interval [t1,t2] is [0,3]

so

`t1=0`

`t2=3`

`g(t1)=g(0)=1`

`g(t2)=g(3)=4`

Substitute

`(4-1)/(3-0)=1`

therefore

The average rate of change in the interval [0,3] is 1