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

Answer:

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

Step-by-step 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

$\frac{g(t2)-g(t1)}{t2-t1}$

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

$\frac{4-1}{3-0}=1$

therefore

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