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

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

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monotone x^2-3x+3

monotone intervals

x^{2} - 3 x + 3

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

Solution steps

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

Find intervals:

Decreasing

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

Increasing

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

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

f (x) = x - 8

x^{4} - 4 x^{3} + 6

f (x) = (x + 3)

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

f (x) = 2 x^{2} - 3 x + 1

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