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Math Help - Graph of modulus function

  1. #1
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    Exclamation Graph of modulus function

    How do we plot the graph of the following function? Please tell the procedures involved.

    f(x)= 2- [x^2 - 3]

    Here, the brackets [ and ] represent modulus function. I hope you get it. I couldn't find a way to type those parallel lines through my keyboard.
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by tariq_h_tauheed View Post
    How do we plot the graph of the following function? Please tell the procedures involved.

    f(x)= 2- [x^2 - 3]

    Here, the brackets [ and ] represent modulus function. I hope you get it. I couldn't find a way to type those parallel lines through my keyboard.
    hold down "shift" and press "\" to get |

    recall that |x| = \left \{ \begin{array}{lr} x & \mbox{ if } x \ge 0 \\ & \\ -x & \mbox{ if } x < 0 \end{array} \right.

    thus: f(x) = 2 - |x^2 - 3| = \left \{ \begin{array}{lr} 2 - (x^2 - 3)  & \mbox{ if } x^2 - 3 \ge 0 \\ & \\ 2 + (x^2 - 3) & \mbox{ if } x^2 - 3 < 0 \end{array} \right.

    this is a piecewise defined function. graph each function on its respective domain
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