19. the table below shows the values of the function f(x) for different values of x. x f(x) -3 2 1 20 3 57 5…
19. the table below shows the values of the function f(x) for different values of x. x f(x) -3 2 1 20 3 57 5 60 7 98 what is the average rate of change in f(x) between x = 1 and x = 5? enter your answer in the box.
Answer
Explanation:
Step1: Recall average - rate - of - change formula
The average rate of change of a function $y = f(x)$ over the interval $[a,b]$ is $\frac{f(b)-f(a)}{b - a}$. Here, $a = 1$, $b = 5$, $f(1)=20$, and $f(5)=60$.
Step2: Substitute values into formula
$\frac{f(5)-f(1)}{5 - 1}=\frac{60 - 20}{4}$
Step3: Calculate the result
$\frac{40}{4}=10$
Answer:
10