using the table below, find the average rate of change from x = 0 to x = 4. x 0 2 3 4 y 3 1 0 -1 -1 1 -1/2 -2
using the table below, find the average rate of change from x = 0 to x = 4. x 0 2 3 4 y 3 1 0 -1 -1 1 -1/2 -2
Answer
Explanation:
Step1: Recall average - rate - of - change formula
The average rate of change of a function $y = f(x)$ from $x = a$ to $x = b$ is $\frac{f(b)-f(a)}{b - a}$. Here, $a = 0$, $b = 4$, $f(0)=3$, and $f(4)=- 1$.
Step2: Substitute values into formula
$\frac{f(4)-f(0)}{4 - 0}=\frac{-1 - 3}{4}$.
Step3: Simplify the expression
$\frac{-4}{4}=-1$.
Answer:
-1