SOLUTION: Consider the rational function f(x)=2x/x-1. Give: The domain The Vertical Asymtote The Horizontal Azymptote The Graph. Please help me with this problem. I don't even know whe

Question 34186: Consider the rational function f(x)=2x/x-1. Give:
The domain
The Vertical Asymtote
The Horizontal Azymptote
The Graph.
Please help me with this problem. I don't even know where to start. Thank you.
Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!
Consider the rational function f(x)=2x/x-1. Give:
The domain
DOMAIN IS THOSE VALUES OF X WHICH RENDER THE FUNCTION MEANINGFULL MATHEMATICALLY.CERTAIN OPERATIONS LIKE DIVISION BY ZERO ARE PROHIBITED IN MATHS.HERE IF X=1,THEN D.R.=X-1=0,WHICH IS NOT PERMISSIBLE..SO DOMAIN IS ALL VALUES OF X OTHER THAN X=1.
The Vertical Asymtote
FROM THE GRAPH BELOW YOU CAN SEE THAT THE PROHIBITED DOMAIN X=1 IS THE VERTICAL ASYMPTOTE...THAT IS THE VERTICAL LINE WHICH REPRESENTS A LIMITING BOUNDARY AS Y TENDS TO PLUS OR MINUS INFINITY
The Horizontal Azymptote
FROM THE GRAPH BELOW YOU CAN SEE THAT Y=2 IS THE HORIZONTAL ASYMPTOTE ..THAT IS THE HORIZONTAL LINE WHICH REPRESENTS A LIMITING POSITION AS X TENDS TO PLUS OR MINUSINFINITY
The Graph.
THE GRAPH IS AS FOLLOWS
X...........-1.........0............0.99.........1.01........2....ETC......
F(X)........1..........0............-198......... 202........4.........ETC...
PLOTTING THE ABOVE DATA WE GET....

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