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 -5 ≤ x ≤ -2?
Answer
Explanation:
Step1: Identify interval endpoints
$a=-5$, $b=-2$
Step2: Find function values at endpoints
From graph: $f(-5)=6$, $f(-2)=-6$
Step3: Calculate average rate of change
$\frac{f(b)-f(a)}{b-a}=\frac{-6-6}{-2-(-5)}=\frac{-12}{3}=-4$
Answer:
-4