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Math Help - Graphing

  1. #1
    Member
    Joined
    Nov 2012
    From
    Singapore
    Posts
    180

    Graphing

    Hi I'm not sure if this is the right forum to post a graphing question but I apologize if it is not..

    The curve C has equation
    \frac{(x-2)(x-a)}\{(x-1)(x-3)} where a is not equal to 1,2 or 3.

    I know how to do all the parts to this question except for one part, which is:

    Sketch the graph of C for
    a.) a>3
    b.) 2<a<3

    I am unsure how to do this part, for I am unable to find the value for a and thus the equation for C. Previously, one of parts to the question asked to find the set of values for which C has stationary points, and I got 1<a<3 but I don't see how this will help, after all it is not a definite single value of a but a range of values.

    I know the axial intercepts for the graph and the asymptotes, and how the graph should look like, ( three parts, a concave down curve in the middle, and the other two curves to the left and right of the vertical asymptotes, bending away from these asymptotes since it the equation involves x^2. ) But I am not sure how to draw the graph, or is it that these information is sufficient?

    Thank you!
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  2. #2
    Member
    Joined
    Nov 2012
    From
    Singapore
    Posts
    180

    Re: Graphing

    Hi sorry, the (x-1)(x-3) is the denominator. Thank you so much!
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