How to find out Domain and Range (infinity) and acemptote on graphs?

Question

Can you help me find out Domain and Range (infinity) and acemptote on graphs? Thank you so much.

Answer 1

Given a function f : R --------->R

                             x --------->f(x)

 

Dom f = { x in R such that f(x) exist and have membership in R }

 

Range = { f(x) given that x belongs to Dom f }

 

Asymptote (if any) : y = mx + p   where m = lim [f(x)]/x  at infinity

 

                                                             and p = limit [f(x) - mx] at infinity

 

Asymptotes can also be vertical x = a or horizontal y = b