Chapter 10, Problem 10.3E

State whether the following functions are acceptable wavefunctions over the range given. If they are not, explain why not.

(a) $F\left(x\right)=x^2+1,0\le x\le 10$

(b) $F\left(x\right)=\sqrt{x}+1,-\infty <x<+\infty$

(c) $f\left(x\right)=\tan \left(x\right),-\pi \le x\le \pi$

(d) $\Psi =e^{-x^2},-\infty <x<+\infty$