SOLUTION: 1. Describe the vertical asymptote(s) and hole(s) for the graph of y=x-5/x^2+4x+3. a. asymptotes: x = �3 b. asymptote: x = �3 and hole: x = �5 c. asymptotes: x = �3, �1 and

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Question 708519: 1. Describe the vertical asymptote(s) and hole(s) for the graph of y=x-5/x^2+4x+3.
a. asymptotes: x = �3
b. asymptote: x = �3 and hole: x = �5
c. asymptotes: x = �3, �1 and hole: x = �5
d. asymptote: x = �5 and hole: x = �3

Answer by solver91311(24713) (Show Source):
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Vertical asymptotes are at where is any real number zero of the denominator polynomial. Holes occur when the denominator and numerator have factors in common.

This rational function has two distinct real number zeros in the denominator polynomial (finding them is left as an exercise for the student) and it has no factors in common between the numerator and denominator. Consequently, there are no holes and there are two vertical asymptotes. None of the answers given match this pattern, hence you need an answer E: None of the above.

John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it