given the function defined in the table below, find the average rate of change, in simplest fo of the…
given the function defined in the table below, find the average rate of change, in simplest fo of the function over the interval 3 ≤ x ≤ 6. x f(x) 0 97 3 76 6 55 9 34 12 13 answer attempt 1 out of 2
Answer
Explanation:
Step1: Recall average - rate - of - change formula
The average rate of change of a function $y = f(x)$ over the interval $[a,b]$ is $\frac{f(b)-f(a)}{b - a}$. Here, $a = 3$, $b = 6$, $f(a)=f(3)=76$, and $f(b)=f(6)=55$.
Step2: Substitute values into formula
$\frac{f(6)-f(3)}{6 - 3}=\frac{55 - 76}{3}$.
Step3: Simplify the expression
$\frac{55 - 76}{3}=\frac{-21}{3}=-7$.
Answer:
$-7$