Question

find the average value of f(x) on the interval [-1, 4]

Answer 1

What is f(-1) ?

Answer 2

0

Answer 3

what is f(4) ?

Answer 4

-1

Answer 5

So,

\[\Large \text{Avg Rate of Change} = \frac{f(a)-f(b)}{a-b}\]


\[\Large \text{Avg Rate of Change} = \frac{f(4)-f(-1)}{4-(-1)}\]


\[\Large \text{Avg Rate of Change} = \frac{f(4)-f(-1)}{4+1}\]


\[\Large \text{Avg Rate of Change} = \frac{f(4)-f(-1)}{5}\]


\[\Large \text{Avg Rate of Change} = \frac{-1-0}{5}\]


\[\Large \text{Avg Rate of Change} = -\frac{1}{5}\]