What is the monotone f(x)=(x+3)^{2/3} ?

The monotone f(x)=(x+3)^{2/3} is Decreasing:-infinity <x<-3,Increasing:-3<x<infinity

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monotone f(x)=(x+3)^{2/3}

monotone intervals

f (x) = (x + 3)^{\frac{2}{3}}

Decreasing : - \infty < x < - 3, Increasing : - 3 < x < \infty

Solution steps

f^{'} (x) = \frac{2}{3 ( x + 3 ) ^{\frac{1}{3}}}

Find intervals:

Decreasing

: - \infty < x < - 3,

Increasing

: - 3 < x < \infty

Decreasing : - \infty < x < - 3, Increasing : - 3 < x < \infty

What is the monotone f(x)=(x+3)^{2/3} ?
The monotone f(x)=(x+3)^{2/3} is Decreasing:-infinity <x<-3,Increasing:-3<x<infinity