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For the function in Item 4, what is the average rate of change over the interval 2 < x ≤ 4?

Sagot :

MrRoyal

The average rate of change of a function is the slope of the function

The average rate of change over the interval 2 < x ≤ 4 is 2

How to determine the average rate of the function

The function is given as:

[tex]f(x) = 2x + 10[/tex]

The interval is given as: 2 < x ≤ 4

Start by calculating f(2) and f(4)

[tex]f(2) = 2*2 + 10= 14[/tex]

[tex]f(4) = 2*4 + 10= 18[/tex]

The average rate is then calculated as:

[tex]m = \frac{f(4) -f(2)}{4 -2}[/tex]

This gives

[tex]m = \frac{18 - 14}{2}[/tex]

[tex]m = \frac{4}{2}[/tex]

[tex]m =2[/tex]

Hence, the average rate of change over the interval 2 < x ≤ 4 is 2

Read more about average rates at:

https://brainly.com/question/8728504

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