SOLUTION: Name the roots, vertical asymptotes or holes of each function {{{ y=(x^2-3x-4)/(x^2-x-2)}}} So first I factored {{{((x-4)(x+1))/((x-2)(x+1))}}} Since x+1 cross out that w

Question 1121657: Name the roots, vertical asymptotes or holes of each function

So first I factored
Since x+1 cross out that would be the hole?
How do I know which is the VA, Roots and how to state the hole?
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
Obviously undefined at x=2 and at x=-1.
Notice factor of 1 for y, .

HOLE for x at -1.

is found only in denominator, so this makes for vertical asymptote of .

is factor found only in numerator so this is a root or zero of y.
Root is .
RELATED QUESTIONS
sketch a graph of each rational function. Show all asymptotes and/or holes. 1.... (answered by nabla)

For each rational function, identify any holes or horizontal or vertical asymptotes of... (answered by jim_thompson5910)

For each rational function, identify any holes or horizontal or vertical asymptotes of... (answered by stanbon)

For each rational function, identify any holes or horizontal or vertical asymptotes of... (answered by MathLover1)

For each rational function, identify any holes or horizontal or vertical asymptotes of... (answered by stanbon)

Identify the points of discontinuity,holes,vertical asymptotes, and horizontal asmyptotes (answered by Edwin McCravy)

Hi heres one more.. For each rational function, identify any holes or horizontal or... (answered by checkley77)

Find the vertical asymptote(s) and/or holes for R(x)=4/(x� -25)(x+2). I have the... (answered by josgarithmetic)

I need help with graphing rational funtions. The question is...Identify the points of... (answered by stanbon)