smithflash2018
Answered

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Find the average rate of change for the function f(x)= Using the intervals of x=2 to x=6 Show ALL your work to receive credit ​

Sagot :

MrRoyal

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

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