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A wave function is a mathematical representation of a wave, which describes the amplitude and phase of the wave at each point in space and time.
A wave function can be graphed by plotting the amplitude of the wave on the vertical axis and the position or time on the horizontal axis.
The shape of a wave function graph indicates the behavior of the wave, such as its amplitude, wavelength, and frequency.
To calculate velocity from a wave function graph, you can use the equation v = λf, where v is the velocity, λ is the wavelength, and f is the frequency of the wave. Alternatively, you can calculate the slope of the graph, which represents the velocity of the wave.
No, the direction of a wave's motion cannot be determined from its wave function graph alone. However, if the wave function is given as a function of time, the direction of the wave's motion can be determined by looking at the sign of the time variable.