1.

which of the following lines are asymptotes for the graph of y=(3x^2-13x-10)/(x^2-4x-5) ? I. x=-1 II. x=5 III. Y=3

Answer»

I only
II only
I and II
I and III

Solution :Factor the NUMERATOR and denominator: `((3x+2)(x-5))/((x+1)(x-5))`, Since the x-5 DIVIDE out, the only vertical asymptote is at x=-1. Since the degree of the numerator and denominator are equal, y approaches 3 as x approaches`+-oo`, so y=3 is a HORIZONTAL asymptote. [9]


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