What is the monotone (4x-12)/((x-2)^2) ?

The monotone (4x-12)/((x-2)^2) is Decreasing:-infinity <x<2,Increasing:2<x<4,Decreasing:4<x<infinity

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monotone (4x-12)/((x-2)^2)

monotone intervals

\frac{4 x - 12}{( x - 2 ) ^{2}}

Decreasing : - \infty < x < 2, Increasing : 2 < x < 4, Decreasing : 4 < x < \infty

Solution steps

f^{'} (x) = \frac{4 ( - x + 4 )}{( x - 2 ) ^{3}}

Find intervals:

Decreasing

: - \infty < x < 2,

Increasing

: 2 < x < 4,

Decreasing

: 4 < x < \infty

Decreasing : - \infty < x < 2, Increasing : 2 < x < 4, Decreasing : 4 < x < \infty

r an g e f (x) = x^{2} - 49

in f l ec t i o n (0.2)^{\frac{2}{3}} (1.2)

e x t re m e \frac{x ^{2} - 4 x}{x ^{2} - 4 x - 12}

in f l ec t i o n f (x) = \frac{x}{x + 8}

a sy m pt o t es f (x) = \frac{2 x - 1}{3 x ^{2}}

What is the monotone (4x-12)/((x-2)^2) ?
The monotone (4x-12)/((x-2)^2) is Decreasing:-infinity <x<2,Increasing:2<x<4,Decreasing:4<x<infinity