SOLUTION: What is the graph of the rational function? y= x^2-7x+12/x^2-1

Question 887756: What is the graph of the rational function?
y= x^2-7x+12/x^2-1
Found 2 solutions by jim_thompson5910, josgarithmetic:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Use a graphing calculator to get

Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
The graph of y= x^2-7x+12/x^2-1 is this:

But that is not what you want.

You want this:
y= (x^2-7x+12)/(x^2-1)

-
That seems not factorable to simplify, but there is still some information to learn about the graph if factor the function.

Zeros at x=3 and x=4.
Asymtptotes (vertical) at x=1 and x=-1.
You can test the intervals around all critical points...

THIS is the graph. (Difficult for this to appear well on the system)

A zoom-in on the right side

RELATED QUESTIONS
what is the graph of the rational function? y= x^2-7x+12/ x^2-1 (answered by Fombitz)
What is the graph of the rational funtion y=... (answered by Fombitz)
What is the graph of the rational function? y = x^2 - 4x +3 =========== (answered by reynard2007)
What is the graph of the rational function y=x^2-4x+3/x^2-9 (answered by jsmallt9,math-vortex)
1.Find the horizontal asymptote of the graph of y =-4x^6+6x+3/8x^6+9x+3. a.y = 1 b.y... (answered by lwsshak3)
what is the domain of the function y = √(x^2+... (answered by Fombitz)
graph the rational function x^2-3x+2�x-1 (answered by checkley77)
What is the graph of the rational function? y = 2x +4 ===== x + 1 (answered by reynard2007)
Graph the rational Function y=-1/x+1-2... (answered by HyperBrain)