what is the average rate of change for this quadratic function for the interval from x = 0 to x = 2?\na…
what is the average rate of change for this quadratic function for the interval from x = 0 to x = 2?\na. -4\nb. 2\nc. 4\nd. -2
Answer
Answer:
A. -4
Explanation:
Step1: Recall average rate - of - change formula
The average rate of change of a function $y = f(x)$ over the interval $[a,b]$ is $\frac{f(b)-f(a)}{b - a}$. Here, $a = 0$, $b = 2$.
Step2: Read function values from graph
From the graph, when $x = 0$, assume $y=f(0)=0$ (the function passes through the origin on the $y - axis$). When $x = 2$, assume $y=f(2)=- 8$.
Step3: Calculate average rate of change
Substitute into the formula: $\frac{f(2)-f(0)}{2 - 0}=\frac{-8 - 0}{2}=\frac{-8}{2}=-4$.