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Math Help - Is there way to know if a step function has no zeros just by its rule? Without graph

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    Is there way to know if a step function has no zeros just by its rule? Without graph

    I just had a question about step functions.
    Is there way to know if a step function has no zeros just by its rule? Without graphing it. Is there an equation/discriminant?

    Thanks :P
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    Re: Is there way to know if a step function has no zeros just by its rule? Without gr

    Quote Originally Posted by Functionater View Post
    I just had a question about step functions.
    Is there way to know if a step function has no zeros just by its rule? Without graphing it. Is there an equation/discriminant?
    This is an odd question. If it is possible to determine if zero in in the range from the rule, then yes.

    For example, f(x) = \left\lfloor {{x^2}} \right\rfloor  + 1 is a step function and it has no zeros.
    Because \forall x,~f(x)>0.
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