Mathematics: Find the average rate of change of f(x) = x + 6*2 on [4, 9]. Round your answer to the nearest hundredth.

Find the average rate of change of f(x) = x + 6*2

MrKrinkle77

21.01.2022

Step-by-step explanation:

The function f(x)=x+6*2 can be rewritten as f(x)=x+12

The average rate of change on the function f on [a,b] interval is the ratio of the changes $\frac{\bigtriangleup f}{\bigtriangleup x }$ :

$\bigtriangleup=\frac{f(b)-f(a)}{b-a}$

We determine our substitute our interval values in the function:

$f(9)=9+12=21\\\\f(4)=4+12=16\\\\\bigtriangleup=\frac{21-16}{9-4}\\\\=1$

Hence, the average rate of change is 1

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graay0817

20.03.2022

Nah not really

Step-by-step explanation:

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