What is the monotone 1/3 x^3-2x^2+4x-4 ?

The monotone 1/3 x^3-2x^2+4x-4 is Increasing:-infinity <x<2,Increasing:2<x<infinity

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monotone 1/3 x^3-2x^2+4x-4

monotone intervals

\frac{1}{3} x^{3} - 2 x^{2} + 4 x - 4

Increasing : - \infty < x < 2, Increasing : 2 < x < \infty

Solution steps

f^{'} (x) = x^{2} - 4 x + 4

Find intervals:

Increasing

: - \infty < x < 2,

Increasing

: 2 < x < \infty

Increasing : - \infty < x < 2, Increasing : 2 < x < \infty

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

f (x) = - x^{2} - 4 x

(4, 1), (- 2, - 5)

f (x) = 8 x - 1

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

What is the monotone 1/3 x^3-2x^2+4x-4 ?
The monotone 1/3 x^3-2x^2+4x-4 is Increasing:-infinity <x<2,Increasing:2<x<infinity