What is the monotone-x^2+3x ?

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

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monotone-x^2+3x

monotone

Increasing : - \infty < x < \frac{3}{2}, Decreasing : \frac{3}{2} < x < \infty

Solution steps

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

Find intervals:

Increasing

: - \infty < x < \frac{3}{2},

Decreasing

: \frac{3}{2} < x < \infty

Increasing : - \infty < x < \frac{3}{2}, Decreasing : \frac{3}{2} < x < \infty

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