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

Question

asked Feb 20, 2023 183k views

1 Answer

Yqritc · Answer 1 · 2023-02-25T11:05:29+0000

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