How do you find the average rate of

Kennedy Ford

Kennedy Ford

Answered question

2022-04-16

How do you find the average rate of change of y=x3+1 from x=1 to x=3?

Answer & Explanation

prangijahnot

prangijahnot

Beginner2022-04-17Added 17 answers

f(x+h)f(x)h=f(b)f(a)ba, where a is the lower bound and b is the upper bound.
Average rate of change
slope=f(b)f(a)ba=f(3)f(1)31=(3)3+1((1)3+1)31
=(27+1)(1+1)31=28231=262=13
Point: (3,28)
Point: (1,2)
y=mx+b
2=13(1)+b
2=13+b
-11=b
y=13x-11, the secant line through the points (3,28) and (1,2).

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