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Math Help - functions college algebra help

  1. #1
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    functions college algebra help

    Is there a function whose graph is symmetric with respect to the x-axis? Explain.

    If it exists give an example

    if it does not exist explain


    thx
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  2. #2
    Super Member 11rdc11's Avatar
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    Quote Originally Posted by intelli View Post
    Is there a function whose graph is symmetric with respect to the x-axis? Explain.

    If it exists give an example

    if it does not exist explain


    thx
    Nope because it would have 2 y's corresponding to 1 x. A easy way to see what I'm talking about is using the vertical line test
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  3. #3
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    What sort of a function? Any old function? x = y^2 is a parabola symmetric through the x-axis.
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  4. #4
    Super Member 11rdc11's Avatar
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    Quote Originally Posted by Cloud_pin View Post
    What sort of a function? Any old function? x = y^2 is a parabola symmetric through the x-axis.
    That would be 2 functions

    y=\sqrt{x}
    y=-\sqrt{x}
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  5. #5
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    thx

    thx i understand it
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  6. #6
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    What about the function, y=0?
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