What is the monotone f(x)=x^2-5x ?

The monotone f(x)=x^2-5x is Decreasing:-infinity <x< 5/2 ,Increasing: 5/2 <x<infinity

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monotone f(x)=x^2-5x

monotone

Decreasing : - \infty < x < \frac{5}{2}, Increasing : \frac{5}{2} < x < \infty

Solution steps

f^{'} (x) = 2 x - 5

Find intervals:

Decreasing

: - \infty < x < \frac{5}{2},

Increasing

: \frac{5}{2} < x < \infty

Decreasing : - \infty < x < \frac{5}{2}, Increasing : \frac{5}{2} < x < \infty

What is the monotone f(x)=x^2-5x ?
The monotone f(x)=x^2-5x is Decreasing:-infinity <x< 5/2 ,Increasing: 5/2 <x<infinity