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

f (x) = 10 x

m = 2, (3, - 5)

f (x) = \frac{( x - 1 )}{x - 2}

(40, 67), (70, 42)

(3, - 2), (2, - 1)

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