What is the monotone f(x)=x^2+3x+4 ?

The monotone f(x)=x^2+3x+4 is Decreasing:-infinity <x<-3/2 ,Increasing:-3/2 <x<infinity

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monotone f(x)=x^2+3x+4

monotone intervals

f (x) = x^{2} + 3 x + 4

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

\frac{3}{2} 4 - x^{2}

\frac{1}{4 - x}

f (x) = \frac{x + 10}{x - 8}

f (x) = 2 x^{2}

x + 6

What is the monotone f(x)=x^2+3x+4 ?
The monotone f(x)=x^2+3x+4 is Decreasing:-infinity <x<-3/2 ,Increasing:-3/2 <x<infinity