How do you find the average rate of

daurialebraslmc

daurialebraslmc

Answered question

2022-04-16

How do you find the average rate of change for the function y=x4+x3+x2+8 on the indicated intervals [1,2]?

Answer & Explanation

pobijedi6wro

pobijedi6wro

Beginner2022-04-17Added 15 answers

The average rate is defined as
fx=f(b)f(a)ba
so you just replace b=2 ,a =1, y=f(x)
Egerlandsq0z

Egerlandsq0z

Beginner2022-04-18Added 14 answers

Given:
f(x)=x4+x3+8+1x2,[1,2].
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=2, f(x)=x4+x3+8+1x2
Thus, f(b)f(a)ba=8+(2)2+(2)3+(2)4(8+12+13+14)2(1)=854.
Answer: the average rate of change is 854.

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