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

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

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

monotone intervals

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

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

y = - x + \frac{1}{3}

f (x) = \frac{5 x ^{2} - 19 x - 4}{2 x ^{2} - 2}

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

\frac{3 x + 10}{- 2 x - 25}

f (x) = 2 x + 25

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