I'm not too sure of how to work this one out, I'm really having trouble determining the extent of the graph. I have figured out that the x intercept is and that the asymptotes are and
Show how you arrived at your graph by determining the x-intercepts, the extent of the graph and the asymptotes.
A) I admit to being lost when it comes to this question, I know how to work these kind of questions under other situations where the x and y are reversed. E.g.: . I am very lost as to what to do with this one though.
When I try to determine 'c' I come out with
I don't really see how that can be correct.
Two points: To find the "asymptotes", think about what happens for x and y really, really big! For and are far larger than the "1" on the right side- if we ignore, it we see that the curve must be close to which means that either so that or so that . Those are the asymptotes.
For the "extent" try solving for x and y. so that . Since the argument of the square root must be positive, we must have or so that or .
. Since the argument is always positive, there is no restriction on y.