Asked by bat
What is the vertical asymptotic line of
Y=(x^3-3x^2)/(9-x^2).
thank you
Y=(x^3-3x^2)/(9-x^2).
thank you
Answers
Answered by
drwls
Factor out (x-3).
Y=(x^3-3x^2)/(9-x^2)
= x^2(x-3)/[(3-x)(x+3)]
= -x^2/(x+3)
This is asymptotic to a vertical line at x=-3
Y=(x^3-3x^2)/(9-x^2)
= x^2(x-3)/[(3-x)(x+3)]
= -x^2/(x+3)
This is asymptotic to a vertical line at x=-3
Answered by
Guido
This has nothing to do with inequalities.
You are simply looking asymptotes.
First of all, what is an asymptote?
You need to know the definition of math terms.
An asymptote is a boundary line that a graph gets very, very, very close to but NEVER (say NEVER) actually touches.
So, a graph gets very close to this line but NEVER touches the line.
You got it?
NEXT:
Follow what drwls said.
You are simply looking asymptotes.
First of all, what is an asymptote?
You need to know the definition of math terms.
An asymptote is a boundary line that a graph gets very, very, very close to but NEVER (say NEVER) actually touches.
So, a graph gets very close to this line but NEVER touches the line.
You got it?
NEXT:
Follow what drwls said.