Why does the plot of y = x^2 have a negative range , but y = x^2.00001 not have one. ?

Question

It's the same with x^3 and x^2.999etc. Is it something to do with the log of a negative number? Or is it something far,far more sinister?

Answer 1

you do mean " negative domain? "....y = x ^a = e^[a ln x], if a is not an integer...those the domain needs to be positive....x^(2.0001) = x² [ x^(0.001)] and thus you need an even root, which demands x ≥ 0