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

1. ## 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

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

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