alison97 Posted April 18, 2013 Share Posted April 18, 2013 While doing my homework, I came across a problem asking me to graph a hyperbola with no horizontal or vertical asymptotes, and an oblique asymptote at y= x + 2. Another problem is asking for the graph of a hyperbola with no asymptotes! I am certain this lack of asymptotes is not due to a calculation error on my part, as this is merely a graphing exercise and the worksheet lists the number and variety of asymptote. Any help would be incredibly appreciated as I have no idea how to complete either of the problems (they're listed below for reference). r(x)= x^2 + x - 6 (no horizontal, vertical, or oblique asymptotes) x - 2 r(x)= x^2 - x - 6 (oblique asymptote at y= x + 2, no horizontal or vertical asymptotes) x - 3 Link to comment Share on other sites More sharing options...
studiot Posted April 18, 2013 Share Posted April 18, 2013 (edited) Hint : For the first fraction, what is (x2+x-6) divided by (x-2) ?? Can you not simplify it? Edited April 18, 2013 by studiot Link to comment Share on other sites More sharing options...
imatfaal Posted April 19, 2013 Share Posted April 19, 2013 Further to studiot - I would think of it as initially factorising (x2+x-6) to (x+..)(x-..) and canceling (same thing and long-winded but factorisation of quadratics is so common). Frankly I think the question is pretty shoddy; if that is the way it is phrased - and the second questions bracket is just wrong Link to comment Share on other sites More sharing options...
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