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Math Help - Sketching a curve

  1. #1
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    Sketching a curve

    Hi I have worked through this many times but I am absolutly clueless - when it comes to making sure what I am doing is right. I have a function to graph using all the steps

    I have attepmted some of it - I need further guidance. Please have a look at attachment and tell me what I've got is right or wrong- if incorrect please tell me what is worng and how to go about it. Ta
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    Last edited by vidhi96; June 30th 2011 at 08:25 AM.
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  2. #2
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    Re: Sketching a curve

    Quote Originally Posted by vidhi96 View Post
    Hi I have worked through this many times but I am absolutly clueless - when it comes to making sure what I am doing is right. I have a function to graph using all the steps
    Step #1 should be x\ne 3~\&~x\ne 0.

    Step #2: f(-x)\ne -f(x)=\frac{-1-5x}{x^2-3x}
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  3. #3
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    Re: Sketching a curve

    i thought you only replace x with -x and evaluate to see what you end up with. Isn't it?
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    Re: Sketching a curve

    Quote Originally Posted by vidhi96 View Post
    i thought you only replace x with -x and evaluate to see what you end up with. Isn't it?
    \text{If }f(x)=\frac{1+5x}{x^2-3x}\text{ then }f(-x)=\frac{1-5x}{x^2+3x}\ne -f(x)=\frac{-1-5x}{x^2-3x}
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  5. #5
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    Re: Sketching a curve

    This throws me everytime- so basically you take - sign out and see what happens to original function and in this case numerator changes sign but denominator doesn't so function is neither . Am I correct?
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