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Math Help - Graphing a rational function with an absolute value

  1. #1
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    Graphing a rational function with an absolute value

    f(x)=|x+1|/(x+1)

    How do I graph this function?
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by rod789 View Post
    f(x)=|x+1|/(x+1)

    How do I graph this function?
    remember, |x| = \left \{ \begin{array}{lr}x & \mbox{ if } x \ge 0 \\ & \\ -x & \mbox{ if } x < 0 \end{array} \right.

    so, f(x) = \frac {|x + 1|}{x + 1} = \left \{ \begin{array}{lr} \frac {x + 1}{x + 1} = 1 & \mbox{ if } x + 1 \ge 0 \\ & \\ \frac {-(x + 1)}{x + 1} = -1 & \mbox{ if } x + 1 < 0 \end{array} \right.

    can you continue?
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  3. #3
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    Quote Originally Posted by Jhevon View Post
    remember, |x| = \left \{ \begin{array}{lr}x & \mbox{ if } x \ge 0 \\ & \\ -x & \mbox{ if } x < 0 \end{array} \right.

    so, f(x) = \frac {|x + 1|}{x + 1} = \left \{ \begin{array}{lr} \frac {x + 1}{x + 1} = 1 & \mbox{ if } x + 1 \ge 0 \\ & \\ \frac {-(x + 1)}{x + 1} = -1 & \mbox{ if } x + 1 < 0 \end{array} \right.

    can you continue?
    yeah, thanks
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