calculating a rate of change of a quadratic function over an interval\nwhich is the rate of change for the…
calculating a rate of change of a quadratic function over an interval\nwhich is the rate of change for the interval between 2 and 6 on the x - axis?\n-3\n-1/3\n1/3\n3
Answer
Explanation:
Step1: Recall rate - of - change formula
The rate of change of a function over the interval $[a,b]$ is $\frac{f(b)-f(a)}{b - a}$. Here $a = 2$, $b = 6$.
Step2: Identify function values from graph
From the graph, when $x = 2$, $y=f(2)=0$; when $x = 6$, $y=f(6)=12$.
Step3: Calculate rate of change
Substitute into the formula: $\frac{f(6)-f(2)}{6 - 2}=\frac{12-0}{4}=3$.
Answer:
3