What is the monotone f(x)=x^2+6x ?

The monotone f(x)=x^2+6x is Decreasing:-infinity <x<-3,Increasing:-3<x<infinity

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monotone f(x)=x^2+6x

monotone

Decreasing : - \infty < x < - 3, Increasing : - 3 < x < \infty

Solution steps

f^{'} (x) = 2 x + 6

Find intervals:

Decreasing

: - \infty < x < - 3,

Increasing

: - 3 < x < \infty

Decreasing : - \infty < x < - 3, Increasing : - 3 < x < \infty

What is the monotone f(x)=x^2+6x ?
The monotone f(x)=x^2+6x is Decreasing:-infinity <x<-3,Increasing:-3<x<infinity