How do you find the average rate of

Justine White

Justine White

Answered question

2022-04-16

How do you find the average rate of change of g(x)=2x34x2 between x=1 and x=3?

Answer & Explanation

annie996k88v

annie996k88v

Beginner2022-04-17Added 11 answers

The average rate of change is calculated using
g(b)g(a)ba
here a = 1 and b = 3
g(3)=2(3)34(3)2=5436=18
and g(1)=2(1)34(1)2=24=2
average rate of change =18(2)31=202=10
star04iks7

star04iks7

Beginner2022-04-18Added 14 answers

f(x)=2x34x2,[1,3].
The average rate of change of f(x) on the interval [a,b] is f(b)f(a)ba
We have that a=1, b=3, f(x)=2x34x2
Thus, f(b)f(a)ba=4(3)2+2(3)3(412+213)3(1)=10
Answer: the average rate of change is 10.

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