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

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

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

monotone intervals

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

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{x - 8}{2 x + 9}

f (x) = 100 x^{\frac{1}{2}} - 10 x

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

x^{3} - 5 x^{2} - 8 x + 4

2 cos (3 x - \frac{π}{4})

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