What is the monotone f(x)=x^2-x+3 ?

The monotone f(x)=x^2-x+3 is Decreasing:-infinity <x< 1/2 ,Increasing: 1/2 <x<infinity

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monotone f(x)=x^2-x+3

monotone intervals

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

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

Solution steps

f^{'} (x) = 2 x - 1

Find intervals:

Decreasing

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

Increasing

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

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

\frac{1}{2 x - 1}

f (x) = {x^{3} + 1, x \leq 0}

(1, - 5), (- 7, 1)

f (x) = - x^{3} + 5 x + 9

f (x) = \frac{5 + x}{9 - x}

What is the monotone f(x)=x^2-x+3 ?
The monotone f(x)=x^2-x+3 is Decreasing:-infinity <x< 1/2 ,Increasing: 1/2 <x<infinity