How do you find the average rate of

Colten Welch

Colten Welch

Answered question

2022-04-13

How do you find the average rate of change of f(x)=x4+3x35x2+2x2 over the interval [-1,1]?

Answer & Explanation

vadomosigmx6

vadomosigmx6

Beginner2022-04-14Added 12 answers

The average rate of change of a function over an interval between 2 points (a ,f(a)) and (b ,f(b)) is
f(b)f(a)ba
here the 2 points are (-1 ,f(-1)) and (1 ,f(1))
f(1)=1+35+22=1
and f(1)=(1)4+3(1)35(1)2+2(1)2=11
1(11)1(1)=102=5
gigglesbuggk1co

gigglesbuggk1co

Beginner2022-04-15Added 13 answers

Step 1: Evaluate the Function for A and B
f(-1)=-11
f(1)=-1
Step 2: Use the Average Rate of Change Formula
f(b)f(a)ba
11111
102
5

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