Consider the function \(\displaystyle{f{{\left({x}\right)}}}={3}{x}^{{{3}}}-{2}{x}\) on the interval

smaakt4ucq

smaakt4ucq

Answered question

2022-03-25

Consider the function f(x)=3x32x on the interval [-4, 4], how do you find the average or mean slope of the function on this interval?

Answer & Explanation

Luciana Cline

Luciana Cline

Beginner2022-03-26Added 14 answers

The mean slope of f(x) on [a,b] is:
f(b)f(a)ba
So, for the question here, find:
f(4)f(4)4(4)
Ashton Conrad

Ashton Conrad

Beginner2022-03-27Added 11 answers

A(x)=f(b)f(a)ba
=f(4)f(4)44
f(-4)=-198
f(4)=184
=184(198)44

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