Question

question
the function $y = f(x)$ is graphed below. what is the average rate of change of the function $f(x)$ on the interval $-6 \leq x \leq -1$?

Explanation:

Step1: Identify $f(-6)$ and $f(-1)$

From the graph: $f(-6)=15$, $f(-1)=20$

Step2: Apply average rate formula

The formula for average rate of change on $[a,b]$ is $\frac{f(b)-f(a)}{b-a}$. Here $a=-6$, $b=-1$.
$\text{Average rate} = \frac{f(-1)-f(-6)}{-1-(-6)} = \frac{20-15}{-1+6}$

Step3: Calculate the result

$\frac{5}{5}=1$

Answer:

1