Question

score: 0/5 penalty: 0.25 off
question
the function $y = f(x)$ is graphed below. what is the average rate of change of the function $f(x)$ on the interval $-6 \leq x \leq 4$?
answer attempt 1 out of 2

Explanation:

Step1: Identify f(-6) and f(4)

From the graph: $f(-6)=10$, $f(4)=0$

Step2: Apply average rate formula

The formula for average rate of change on $[a,b]$ is $\frac{f(b)-f(a)}{b-a}$. Substitute $a=-6, b=4$:
$\frac{f(4)-f(-6)}{4-(-6)} = \frac{0-10}{4+6} = \frac{-10}{10} = -1$

Answer:

-1