Question

1. find the average rate of change on the interval 1,4

f(4)= 1, f(1)= 4
the average rate of change is .

Explanation:

Step1: Recall average rate formula

Average rate = $\frac{f(4)-f(1)}{4-1}$

Step2: Substitute given values

$f(4)=1$, $f(1)=4$, so $\frac{1-4}{4-1}=\frac{-3}{3}$

Step3: Calculate result

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

Answer:

-1