the table of values represents a quadratic function. what is the average rate of change for f(x) from x = 0…
the table of values represents a quadratic function. what is the average rate of change for f(x) from x = 0 to x = 10? enter your answer in the box.
Answer
Explanation:
Step1: Recall average - rate - of - change formula
The average rate of change of a function $y = f(x)$ from $x = a$ to $x = b$ is given by $\frac{f(b)-f(a)}{b - a}$. Here, $a = 0$, $b = 10$, $f(0)=-6$ and $f(10)=204$.
Step2: Substitute values into formula
$\frac{f(10)-f(0)}{10 - 0}=\frac{204-(-6)}{10}$.
Step3: Simplify the expression
$\frac{204 + 6}{10}=\frac{210}{10}=21$.
Answer:
21