Mathematics: What is the average rate of change of the function f(x) = 2x + 8 over the interval [2, 6)?

What is the average rate of change of the function

xojade

13.02.2022

The average rate of change of the function f(x) over the interval [2, 6] is 2.

Important information:

The function is f(x)=2x+8

.The given interval is [2,6].Average rate of change:

The average rate of change of the function f(x) over the given interval [a,b] is:

$m=\dfrac{f(b)-f(a)}{b-a}$

Using the above formula, we get

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

$m=\dfrac{(2(6)+8)-(2(2)+8)}{4}$

$m=\dfrac{12+8-4-8}{4}$

$m=\dfrac{8}{4}$

m=2

Thus, the average rate of change of the function f(x) over the interval [2, 6] is 2.

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laura1649

05.10.2020

h = 54.5

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin 35 = h/95

95 sin 35 = h

h=54.48976

Rounding to the nearest tenth

h = 54.5

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