What is the monotone x/(x^2+x-2) ?

The monotone x/(x^2+x-2) is Decreasing:-infinity <x<-2,Decreasing:-2<x<1,Decreasing:1<x<infinity

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monotone x/(x^2+x-2)

monotone intervals

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

Decreasing : - \infty < x < - 2, Decreasing : - 2 < x < 1, Decreasing : 1 < x < \infty

Solution steps

Find the critical points:

None

Domain of

\frac{x}{x ^{2} + x - 2} : x < - 2 or - 2 < x < 1 or x > 1

Find intervals:

Decreasing

: - \infty < x < - 2,

Decreasing

: - 2 < x < 1,

Decreasing

: 1 < x < \infty

Decreasing : - \infty < x < - 2, Decreasing : - 2 < x < 1, Decreasing : 1 < x < \infty

What is the monotone x/(x^2+x-2) ?
The monotone x/(x^2+x-2) is Decreasing:-infinity <x<-2,Decreasing:-2<x<1,Decreasing:1<x<infinity