What is the monotone-2x^2+2x ?

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

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monotone-2x^2+2x

monotone intervals

- 2 x^{2} + 2 x

Increasing : - \infty < x < \frac{1}{2}, Decreasing : \frac{1}{2} < x < \infty

Solution steps

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

Find intervals:

Increasing

: - \infty < x < \frac{1}{2},

Decreasing

: \frac{1}{2} < x < \infty

Increasing : - \infty < x < \frac{1}{2}, Decreasing : \frac{1}{2} < x < \infty

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

x^{3} + 8

x = 1

f (x) = 3 x + 1

f (x) = \frac{x + 9}{x + 1}

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