In what ways people check if an equality is true when using Python

I have a function of many variables (let's say 10) taking values in [0,1], and I would like to see if it is "possibly" positive. When is it better to split the interval in steps (of let's say 0.1), and when take many random 10-tuples. I am new to this, so if you think there is a better way to formulate my question, I welcome that. Also any other ideas for checking if an inequality is true (function is positive) are welcome too.