# Thread: 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

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