  We address the problem of rational extensions of six examples of
shape-invariant potentials having finitely many discrete eigenstates. The
overshoot eigenfunctions are proposed as candidates unique in this group for
the virtual state wavefunctions, which are an essential ingredient for
multi-indexed and iso-spectral extensions of these potentials. They have
exactly the same form as the eigenfunctions but their degrees are much higher
than n_{max} so that their energies are lower than the groundstate energy.
