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Math Help - five 4 part problems...

  1. #1
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    five 4 part problems...

    a: state the domain of the function
    b: identify all intercepts
    c: find any vertical and horizontal asymptotes
    d: plot additional solution points as needed to sketch the graph of the rational function

    1: f(x) = 1/x-3
    2: P(x) = 1-3x/1-x
    3: f(x) = x^2+3x/x^2+x-6
    4: f(x) = 5(x+4)/x^2+x-12
    5: f(x) = x^2-16/x-4

    show work please.

    and thank you soooo much in advance.
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  2. #2
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    Quote Originally Posted by eichyess View Post
    a: state the domain of the function
    b: identify all intercepts
    c: find any vertical and horizontal asymptotes
    d: plot additional solution points as needed to sketch the graph of the rational function

    1: f(x) = 1/x-3
    2: P(x) = 1-3x/1-x
    3: f(x) = x^2+3x/x^2+x-6
    4: f(x) = 5(x+4)/x^2+x-12
    5: f(x) = x^2-16/x-4

    show work please.

    and thank you soooo much in advance.
    To find the domain, think about values you can't put into the function. This also determines vertical asymptotes unless it can be factored out. If that is the case, then you have a hole in the graph.
    x intercepts (x,0)
    y intercepts (0,y)
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  3. #3
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    Forgot:

    Horizontal asymptotes \lim_{x\to\pm\infty}f(x)
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