Question

Use the graph of f(x) to evaluate the following:

The average rate of change of f from x= 0 to x=4 is _______.

Give your answer as an integer or reduced fraction.

Answer 1

Answer:

$\large\boxed{-\dfrac{5}{4}}$

Step-by-step explanation:

$\text{The average rate of change of function}\ f(x)\\\text{over the interval}\ a\leq x\leq b\ \text{is given by this expression:}\\\dfrac{f(b)-f(a)}{b-a}.\\\\\text{Read from graph the values of function for}\ x=0\ \text{and}\ x=4.\\(look\ at\ the\ picture)\\\\f(0)=5,\ f(4)=0\\\\\text{Substitute:}\\\\\dfrac{f(4)-f(0)}{4-0}=\dfrac{0-5}{4}=-\dfrac{5}{4}$