Consider an electron confined in a one-dimensional potential well U (x ) = ax. Armed with the principles you have learned in class for sketching wavefunctions, sketch as accurately as you can the ground state of the electron in this potential, V (x ) and the first three excited states, V (x ), 42 (x), and w; (x) . Pay particular attention to these features of the wavefunctions: a. Their limiting values as x -> two, b. Their parity, c. The number of nodes in each wavefunction, d. The relative spacing of nodes with respect to each other, and e. The relative amplitudes of the anti-nodes with respect to each other