the function $y = f(x)$ is graphed below. what is the average rate of change of the function $f(x)$ on the…
the function $y = f(x)$ is graphed below. what is the average rate of change of the function $f(x)$ on the interval $3 \\leq x \\leq 4$?
Answer
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:
$-5$