use the graph to answer the question. what is the average rate of change from x = 3 to x = 11? -8 -1/8 1/8 8…
use the graph to answer the question. what is the average rate of change from x = 3 to x = 11? -8 -1/8 1/8 8 done
Answer
Answer:
B. $-\frac{1}{8}$
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, $a = 3$ and $b=11$.
Step2: Find $f(3)$ and $f(11)$ from the graph
From the graph, when $x = 3$, $y=f(3)=7$; when $x = 11$, $y = f(11)=6$.
Step3: Calculate the average rate of change
Substitute into the formula: $\frac{f(11)-f(3)}{11 - 3}=\frac{6 - 7}{8}=\frac{-1}{8}=-\frac{1}{8}$.