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Math Help - Major Math Graphing Assignment

  1. #1
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    Major Math Graphing Assignment

    I have to graph this function as part of my math assignment for calculus.

    f(x) = x2 (supposed to be x squared) - 2x - 15
    x + 3

    ** it's x squared minus 2x minus 15 all over x+3

    i know that it is a straight line with a whole in it at x= -3. However, i just want to make sure i have all the steps correct in coming up with this answer. And even though it's a straight line, i need to determine f'(x) and f''(x) to find critical points and intervals of concavity and inflection point.

    Any help at all would be much appreciated.. thank-you very much
    Last edited by jmailloux; November 18th 2006 at 04:05 PM. Reason: wrote the equation wrond
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  2. #2
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    Quote Originally Posted by jmailloux View Post
    I have to graph this function as part of my math assignment for calculus.

    f(x) = x2 (supposed to be x squared) - 2x - 15
    x + 3

    ** it's x squared minus 2x minus 15 all over x+3

    i know that it is a straight line with a hole in it at x= -3. However, i just want to make sure i have all the steps correct in coming up with this answer. And even though it's a straight line, i need to determine f'(x) and f''(x) to find critical points and intervals of concavity and inflection point.

    Any help at all would be much appreciated.. thank-you very much
    f(x) = \frac{x^2 - 2x - 15}{x + 3}

    f(x) = \frac{(x + 3)(x - 5)}{x + 3}

    So
    f(x) = x - 5, x \neq -3.

    So now take your derivatives using this form. You CAN take the derivatives using the original form, but it'll get messy quickly.

    -Dan
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