Question

Given the function defined in the tablebelow, find the average rate of change, insimplest form, of the function over theinterval 1 < x < 3.

Answer 1

To find the average rate of change (ARC), we divide the change in the output value by the change in the input value.

The function is defined in the table and we are given that:

f(1)=80

f(3)=76

The ARC is calculated as follows:

`\text{ARC}=(f(3)-f(1))/(3-1)=(76-80)/(2)=(-4)/(2)=-2`

The ARC is -2