Question

PLEASE HELP ME THIS IS URGENT!!!Given the function defined in the table below, find the average rate of change, in simplest form, of the function over the interval 1 < x < 4. х f(x) 1 12 2 21 3 30 4 4 39 5 48

Answer 1

The average rate of change of the function over the given interval is 9

Here, we want to calculate the average rate of change of the function within the given interval

Mathematically, given a function f(x) , the average rate of change of the function within the interval a ≤ x ≤ b is given below;

$\frac{f(b)\text{ - f(a)}}{b-a}$

withe respect to this question;

a = 1

b = 4

f(a) = f(1) = 12

f(b) = f(4) = 39

The average rate of change within the given interval is thus;

$\frac{39-12}{4-1}\text{ = }\frac{27}{3}\text{ = 9}$