the function $y = f(x)$ is graphed below. what is the average rate of change of the function $f(x)$ on the…
the function $y = f(x)$ is graphed below. what is the average rate of change of the function $f(x)$ on the interval $-7 \\leq x \\leq 3$?
Answer
Explanation:
Step1: Identify $f(-7)$ and $f(3)$
From the graph, $f(-7) = -60$ and $f(3) = 50$.
Step2: Apply average rate formula
The average rate of change on $[a,b]$ is $\frac{f(b)-f(a)}{b-a}$. Substitute $a=-7$, $b=3$, $f(a)=-60$, $f(b)=50$: $\frac{50 - (-60)}{3 - (-7)} = \frac{50 + 60}{3 + 7}$
Step3: Calculate the result
$\frac{110}{10} = 11$
Answer:
11