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Math Help - Piecewise Functions...Is this proper?

  1. #1
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    Piecewise Functions...Is this proper?

    Can you have a piecewise function defined like:

    f(x)=
    x+3 if x<=3
    2x if x>=3

    Or do you need to eliminate the equal from one of those?

    Plugging in 3 gives 6 in either equations, and so, do you just arbitrarily pick one for if x=3?
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  2. #2
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    Re: Piecewise Functions...Is this proper?

    Quote Originally Posted by twittytwitter View Post
    Can you have a piecewise function defined like:

    f(x)=
    x+3 if x<=3
    2x if x>=3

    Or do you need to eliminate the equal from one of those?

    Plugging in 3 gives 6 in either equations, and so, do you just arbitrarily pick one for if x=3?
    Well let us just say that it is not good form.
    In this case, the function is continuous at x=3
    That may not always be the case.
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