Find range of function Y=(x^2+x)/ sqrt (x^3+x^2) w/o graphing

[Mullandowski]

Y=(x^2+x)/ sqrt (x^3+x^2)

 

[Deleted member 4993]

Y=(x^2+x)/ sqrt (x^3+x^2)

What is the definition of the range of a function?

 

[Harry_the_cat]

Consider simplifying the expression first.

\(\displaystyle \dfrac{x^2+x}{\sqrt{x^3+x^2}} = \) \(\displaystyle \dfrac{x(x+1)}{abs(x)\sqrt{x+1}}\)