Question

the function $y = f(x)$ is graphed below. what is the average rate of change of the function $f(x)$ on the interval $-4 \leq x \leq -3$?

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 $a, b$ and find $f(a), f(b)$

Here $a=-4$, $b=-3$. From the graph: $f(-4)=-60$, $f(-3)=0$.

Step3: Substitute values into formula

$\frac{f(-3)-f(-4)}{-3-(-4)} = \frac{0 - (-60)}{-3 + 4}$

Step4: Calculate the result

$\frac{60}{1}=60$

Answer:

60