How do you find the average rate of

Destinee Bryan

Destinee Bryan

Answered question

2022-04-14

How do you find the average rate of change of the function F(x)=x26x+5 over the interval [-2, -2+h]?

Answer & Explanation

chambasos6

chambasos6

Beginner2022-04-15Added 12 answers

Explanation:
Average rate of Change of a fun. F: [a,b]R is
F(b)F(a)ba
Hence, the Reqd. Rate = F(2+h)F(2)2+h(2)
=F(h2)F(2)h
=(h2)26(h2)+5((2)26(2)+5)h
=h24h+46h+12+54125h
=h210hh
=h(h10)h
The Rate=h-10
zakos2zn1mr

zakos2zn1mr

Beginner2022-04-16Added 10 answers

Given:
f(x)=x26x+5,[2,h2]
The average rate of change of f(x) on the interval [a,b] is f(b)f(a)ba
We have that a=-2, b=h-2, f(x)=x26x+5
Thus,
f(b)f(a)ba=56(h2)+(h2)2(56(2)+(2)2)h2(2)=6h+(h2)24h=
Answer:
h-10

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