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Math Help - Sketch a reasonable graph of this equation

  1. #1
    Junior Member Cyberman86's Avatar
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    Exclamation Sketch a reasonable graph of this equation

    F(x)= x^2 - 9/ x + 3

    my teacher gave me this problem for review and i can't figure it out, i think it looks like a parabola facing downward or i don't know because is over x + 3.
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  2. #2
    MHF Contributor kalagota's Avatar
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    Taguig City, Philippines
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    Quote Originally Posted by Cyberman86 View Post
    F(x)= x^2 - 9/ x + 3

    my teacher gave me this problem for review and i can't figure it out, i think it looks like a parabola facing downward or i don't know because is over x + 3.
    well, F(x)=\frac{x^2-9}{x+3} = \frac{(x-3)(x+3)}{x+3} = x-3

    so, it is just the line y=x-3 but with a hole at x=-3 since F(x) is not defined there..
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