Question

What is the average rate of change for ƒ(x) = −2x + 70 over the interval 2 ≤ x ≤ 6?

Answer 1

Answer:

The average rate of change is -2

Step-by-step explanation:

we know that

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

In a linear function the average rate of change is a constant and is equal to the slope of the function

The linear function in slope intercept form is equal to

$f(x)=mx+b$

where

m is the slope or unit rate of the linear function

b is the y-intercept or initial value of the linear function

In this problem we have

$f(x)=-2x+70$

so

$m=-2\\b=70$

therefore

The average rate of change is -2