book Maths Puzzle Numerical Ability

How would I solve the inequality for the equation x - 1/x^2 < 0? I came up with the answer of (0,1). Would this be the correct answer or show me how to work for the correct answer.

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Can you please explain to me how you create an equation (function) from looking at a parabola? I can make a parabola from an equation. But not the other way around. I need very easy and explained steps!
Thanks for your time and effort.
-C.
This is a bonus question for my algebra class, Is there a special name for x to the fourth power?