Question

Help me out please?

Answer 1

If I have a function with the end behavior f(x)--> ∞ as x--> ∞ and f(x)--> -∞ as x--> -∞ but it has a oblique asymptote at, say, y=x-3, would the end behavior actually be f(x)--> ∞ as x--> y=x-3 and f(x)--> -∞ as x--> y=x-3? Does that make sense?

Answer 2

In other words, how do I describe the end behavior of a function with an oblique asymptote?

Answer 3

It is of no consequence.

I suppose you could say f(x) ==> x-3 and x ==> ∞, but that means no more or less than f(x) ==> ∞ and x ==> ∞, since x-3 ALSO x ==> ∞

Answer 4

Thanks, that makes sense. :D