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Math Help - Graphing of Piecewise Function

  1. #1
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    Thumbs down Graphing of Piecewise Function

    Hi thanks in advance to anyone who can help.

    Basically we've been given an assignment the includes the question:

    A function g is even and periodic with period 4. It is given in [0,2) by

    g(x) = {x^2 if 0 <= x < 1
    {2 - x if 1 <= x < 2

    Draw the graph of g(x) on [-4,4]

    I know how to draw the graph in the original range of 0-2 but its when it changes to [-4,4] that throws me. Also with the period being 4 I tried just translating the graph I got when drawing it between [0,2) 4 units but then it turns out not to be even.

    Any help anyone can give will be great. If you need further explanation just ask.
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  2. #2
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    Quote Originally Posted by thepars View Post
    Hi thanks in advance to anyone who can help.

    Basically we've been given an assignment the includes the question:

    A function g is even and periodic with period 4. It is given in [0,2) by

    g(x) = {x^2 if 0 <= x < 1
    {2 - x if 1 <= x < 2

    Draw the graph of g(x) on [-4,4]

    I know how to draw the graph in the original range of 0-2 but its when it changes to [-4,4] that throws me. Also with the period being 4 I tried just translating the graph I got when drawing it between [0,2) 4 units but then it turns out not to be even.

    Any help anyone can give will be great. If you need further explanation just ask.
    Here is how it is looks like.
    Attached Thumbnails Attached Thumbnails Graphing of Piecewise Function-conformal.jpg  
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