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:
[tex]f(x) = 4x + 2[/tex]
The interval of the function is given as:
x = 2 to x =6
Start by calculating f(2) and f(6)
[tex]f(2) = 4*2 + 2 = 10[/tex]
[tex]f(6) = 4*6 + 2 = 26[/tex]
The average rate of change of the function is then calculated as:
[tex]m = \frac{f(6) - f(2)}{6 - 2}[/tex]
[tex]m = \frac{f(6) - f(2)}{4}[/tex]
So, we have:
[tex]m = \frac{26 -10}{4}[/tex]
[tex]m = \frac{16}{4}[/tex]
[tex]m = 4[/tex]
Hence, the average rate of change of the function is 4
Read more about average rates at:
https://brainly.com/question/8728504
