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

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

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

monotone intervals

f (x) = 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

y = x^{2} - 5

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

e^{x} - 2

f (x) = 8 (\frac{x}{2} - 3)

f (x) = - \frac{1}{2} (x - 3) + 4

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