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

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

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**Functionater** 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, $\displaystyle f(x) = \left\lfloor {{x^2}} \right\rfloor + 1$ is a step function and it has no zeros.

Because $\displaystyle \forall x,~f(x)>0$.