Does f(x) have a slant or horizontal asymptotes?

Question

slant only

  

horizontal only

  

both

  

neither

Update:

I believe it only has slant because y=x?

Answer 1

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The degree of the numerator is greater than the degree of the denominator, so it cannot have a horizontal asymptote.

If b = -a, it is a linear function with two exclusions, hence no asymptotes at all.

In any other case the graph has two asymptotes, one vertical and one oblique.