Question

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

Explanation:

Step1: Identify f(3) and f(4)

From the graph, $f(3)=15$, $f(4)=10$

Step2: Apply average rate formula

The average rate of change on $[a,b]$ is $\frac{f(b)-f(a)}{b-a}$. Substitute $a=3$, $b=4$:
$\frac{f(4)-f(3)}{4-3}=\frac{10-15}{4-3}$

Step3: Calculate the result

$\frac{10-15}{1}=-5$

Answer:

$-5$