Wavefunction problem help

Consider the wavefunction

psi = Ae^i(kx+wt) ;w = omega

where k is real and w(omega) > 0 and is real. Is this wavefunction an admissible quantum state for a free particle?. Justify your answer is no, in what manner would you change the given function to describe a free particle moving in the -x direction?.
 

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How about showing some work?
 

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