Posted by Rebekah on Sunday, October 14, 2012 at 8:18pm.
#1, I think you meant:
(x^2 + 6x+5)/(2x^2 + 7x + 5)
then
y = (x+1)(x+5)/((x+1)(2x+5))
= (x+5)/(2x+5)
horizontal: y = 1/2 , you had that
vertical x = -5/2
a "hole" at x = -1 , not a vertical asymptote
#2, again, you need brackets for the denominator, the way it stands , only the 4x is divided.
the rest is correct.
#3. The asymptote is actually the parabola
y = x^2 + 2x + 4 , so it is a "curved asymptote"
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