which is the best estimate for the average rate of change for the quadratic function graph on the interval 4…
which is the best estimate for the average rate of change for the quadratic function graph on the interval 4 ≤ x ≤ 8?\na 1\nb 2\nc 3\nd 4
Answer
Answer:
B. 2
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, $a = 4$ and $b = 8$.
Step2: Estimate function values
Estimate the $y$-values of the function at $x = 4$ and $x = 8$ from the graph. Let's say $f(4)\approx - 3$ and $f(8)\approx5$.
Step3: Calculate average rate of change
$\frac{f(8)-f(4)}{8 - 4}=\frac{5-(-3)}{4}=\frac{8}{4}=2$.