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

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

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monotone 4-(x-2)^2

monotone intervals

4 - (x - 2)^{2}

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

Solution steps

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

Find intervals:

Increasing

: - \infty < x < 2,

Decreasing

: 2 < x < \infty

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

f (x) = x^{3} - 7 x^{2} + 15 x + 9

\frac{x ^{2}}{x}

f (x) = \frac{x ^{2} + 5 x - 6}{x + 3}

\frac{2 x ( x - 1 ) ^{2}}{( x + 1 ) ^{3}}

y = 4 x - 8

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