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 $6 \leq x \leq 7$?

Explanation:

Step1: Identify f(6) and f(7)

From the graph, $f(6)=0$, $f(7)=6$

Step2: Apply average rate formula

The average rate of change on $[a,b]$ is $\frac{f(b)-f(a)}{b-a}$. Substitute $a=6, b=7$.
$\text{Average rate} = \frac{f(7)-f(6)}{7-6} = \frac{6-0}{1}$

Step3: Calculate the final value

Simplify the expression.
$\frac{6}{1}=6$

Answer:

6