question 9 of 10\nwhat is the average rate of change for this quadratic function for the interval from x = 1…
question 9 of 10\nwhat is the average rate of change for this quadratic function for the interval from x = 1 to x = 3?
Answer
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, $a = 1$, $b = 3$.
Step2: Read function values from the graph
From the graph, when $x = 1$, assume the $y$-value (let's call it $y_1$) is $- 5$. When $x = 3$, assume the $y$-value (let's call it $y_2$) is $-5$.
Step3: Calculate the average rate of change
Substitute into the formula: $\frac{y_2 - y_1}{3 - 1}=\frac{-5-(-5)}{2}=\frac{-5 + 5}{2}=0$.
Answer:
$0$