Question

the function $y = f(x)$ is graphed below. what is the average rate of change of the function $f(x)$ on the interval $-1 \leq x \leq 0$?

answer attempt 2 out of 2

Explanation:

Step1: Recall average rate of change formula

The average rate of change of $f(x)$ on $[a,b]$ is $\frac{f(b)-f(a)}{b-a}$

Step2: Identify $a, b, f(a), f(b)$

For interval $[-1,0]$: $a=-1$, $b=0$. From the graph, $f(-1)=-12$, $f(0)=-12$.

Step3: Calculate the value

$\frac{f(0)-f(-1)}{0-(-1)} = \frac{-12 - (-12)}{0 + 1} = \frac{0}{1} = 0$

Answer:

$0$