Final answer:
A dispersion curve represents the relationship between wave mode velocities and frequency, showing how the wave velocity constraints affect wave behavior.
Step-by-step explanation:
The set of curves of possible guided wave mode velocities plotted together is known as a dispersion curve. These curves are crucial in understanding how the phase velocity and group velocity of various modes of a wave change with frequency. A dispersion curve can illustrate important aspects of waveguide behavior, such as constraint on the velocity of wave modes and displays how these constraints vary depending on the frequency, thereby affecting the wave velocity, which is the speed at which the disturbance moves through the medium.