which is the best estimate for the average rate of change for the quadratic function graph on the interval…
which is the best estimate for the average rate of change for the quadratic function graph on the interval -4 ≤ x ≤ 4? a -1 b -2 c -3 d -4
Answer
Explanation:
Step1: Recall average - rate - of - change formula
The average rate of change of a function $y = f(x)$ on the interval $[a,b]$ is $\frac{f(b)-f(a)}{b - a}$. Here, $a=-4$, $b = 4$.
Step2: Estimate function values
From the graph, when $x=-4$, $y\approx5$; when $x = 4$, $y\approx - 3$.
Step3: Calculate average rate of change
Substitute into the formula: $\frac{f(4)-f(-4)}{4-(-4)}=\frac{-3 - 5}{4+4}=\frac{-8}{8}=-1$.
Answer:
A. -1