Consider the following function: \Psi(x)=x^{2} e^{-x^{2}} This function is____

not a suitable wave function because it goes to positive or negative infinity for certain values of x

not a suitable wave function because the slope is discontinuous

not a suitable wave function because the slope is discontinuous for certain values of x AND it goes to positive or negative infinity for certain values of x

not a suitable wave function because it is discontinuous for certain values of x

perhaps suitable for describing a free particle without position constraints, but the function is not normalizable

not a suitable wave function because it is discontinuous AND it goes to positive or negative infinity for certain values of x

a suitable wave function