Question

1. find the average rate of change on the interval 1,3

x	f(x)
1	-3
2	12
3	37

f(3)= 37 , f(1)= -3
the average rate of change is .

Explanation:

Step1: Recall average rate formula

Average rate = $\frac{f(b)-f(a)}{b-a}$ for $[a,b]$

Step2: Substitute values

$f(3)=37$, $f(1)=-3$, $b=3$, $a=1$
$\frac{37 - (-3)}{3 - 1} = \frac{40}{2}$

Step3: Calculate result

$\frac{40}{2}=20$

Answer:

20