SOLUTION: For each rational function, identify any holes or horizontal or vertical asymptotes of its graph: 1. y= (x+3)/(x+2)(x+3) 2.y= (x+5)/(x-2)(x-3) 3. y=1/(x+4)(not part of fraction)

Question 956756: For each rational function, identify any holes or horizontal or vertical asymptotes of its graph:
1. y= (x+3)/(x+2)(x+3)
2.y= (x+5)/(x-2)(x-3)
3. y=1/(x+4)(not part of fraction) +3
4. y= 3/x-1 (not part of fraction) -2
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
For each rational function, identify any holes or horizontal or vertical asymptotes of its graph:
1. y= (x+3)/(x+2)(x+3)
hole at x = -3 ;
vertical asymptote at x = -2
horizontal asymptote at y = 0x^2/1x^2 = 0/1 = 0
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2.y= (x+5)/(x-2)(x-3)
Vertical asymptotes at x = 2 and x = 3
Horizontal asymptote at y = 0x^2/1x^2 = 0
---------------------------------
3. y=1/(x+4) +3
vertical asymptote at x = -4
Horizontal asymptote at y = 0*x/1*x + 3 = 0+3 = 3
-----------------------------
4. y= 3/x-1 -2
vertical asymptote at x = 1
horizontal asymptote at y = 0*x/1*x - 2 = 0 - 2 = -2
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Cheers,
Stan H.
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