Tell me if I goofed up my calc test

Pre-College Issues High School Life
1

<p>See, I studied all the more in-depth and hard concepts and he threw in a trickster problem that I'm worried I got wrong.</p>

<p>It showed a picture of a graph of a function f(x) and had roman numerals I,II, III, and IV. We had to say which statements are correct. As usual I eliminate one is complete nonsense and pick two that I am 100% sure are right. That leaves one and I'm not sure to pick the answer including that one or not. I decided not to. </p>

<p>The graph was like 2 hyperbolas coming in, but one was sort of curving up and down. The statement I wasn't sure on was, it said that y=1/2 is a horizontal asymptote. I said it wasn't because the one side of the function crossed the horizontal asymptote even the other did not and the side that crossed it eventually came back over it. Know what I mean? In Algebra 2, we learned that functions never touch the asymptotes, but that may have been because we were only working with "Friendly" functions that didn't curve all over. </p>

<p>Break it to me easy, is it an asymptote even if the function crosses at one or two points?</p>

2

<p>Yup, it is. Or at least I think so...</p>

<p>Though I'm only in pre-calc, my teacher stressed many times that when your finding an asymptote, your looking for the END BEHAVIOUR asymptote, meaning the part of the function relatively close to the origin may completely ignore it. However, this may only hold true for a special class of functions (We learned about them early last semester, so I can't recall perfectly) and not for conics.</p>

3

<p>damn it. i think your right. well, looks like it may be 14/15 unless I f***ed up something else. and there's about 2 other problems that that's very possible for.</p>

4

<p>Okay, phew. I did goof it up and get that one wrong, but I got a 96 still.</p>