Graph the following Rational Functions. Find and label any zeros, holes, y-intercepts, and asymptotes.

f(x)=(x-2)/((x^2)+2x-15)

Question

Graph the following Rational Functions. Find and label any zeros, holes, y-intercepts, and asymptotes.

f(x)=(x-2)/((x^2)+2x-15)

anonymous · Answer

I already found the zero at x=2 and the y-int at .1333

anonymous · Answer

the y-int at 0.1333

anonymous · Answer

man i never could factor, that was all wrong 
$$f(x)=\frac{x-2}{(x-3)(x+5)}$$

anonymous · Answer

horizontal asymptotes at the zeros of the denominator, namely 
$$x=-5,x=3$$

anonymous · Answer

how are you finding the horizontal asymptotes?

anonymous · Answer

by making a mistake
those are the vertical asymptotes, not the horizontal ones
vertical asymptotes at the zeros of the denominator

anonymous · Answer

horizontal asymptote you compare the degree of the numerator, which is 1, with the degree of the denominator, which is 2
since the denominator is larger, the horizontal asymptote is $y=0$

anonymous · Answer

sure
first look to see if you can factor, and then see if you can cancel
in this case, you can factor the denominator, but nothing cancels

anonymous · Answer

since nothing cancels, how do you know what to do?

anonymous · Answer

got logged out, sorry