How do you find the average rate of

Jasiah Vincent

Jasiah Vincent

Answered question

2022-04-14

How do you find the average rate of change of f(x)=2x2 over the interval [1, 5]?

Answer & Explanation

pobijedi6wro

pobijedi6wro

Beginner2022-04-15Added 15 answers

The average rate of change is simply the incremental ratio calculated over the whole interval, that is:
C=f(b)f(a)ba
In this case:
C=[252]+[212]51=14(225+2)=1325
Result:
The average rate of change is C=1325
uvredio0of6

uvredio0of6

Beginner2022-04-16Added 17 answers

f(x)=2x2,[1,5]
[a,b] is f(b)f(a)ba
We have: a=1, b=5, f(x)=2x2
Thus, f(b)f(a)ba=2(5)2(212)5(1)=1225.
Answer: =1225

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