Question

PLS SHOW WORK

Answer 1

The average rate of change of a function is its slope

The average rate of change of the function is 4

How to calculate the average rate of change

The function is given as:

$f(x) = 4x + 2$

The interval of the function is given as:

x = 2 to x =6

Start by calculating f(2) and f(6)

$f(2) = 4*2 + 2 = 10$

$f(6) = 4*6 + 2 = 26$

The average rate of change of the function is then calculated as:

$m = \frac{f(6) - f(2)}{6 - 2}$

$m = \frac{f(6) - f(2)}{4}$

So, we have:

$m = \frac{26 -10}{4}$

$m = \frac{16}{4}$

$m = 4$

Hence, the average rate of change of the function is 4

Read more about average rates at:

brainly.com/question/8728504