The graph of y = sin((pi)x) is a sinusoidal function that oscillates between -1 and 1 as x increases. The period of the function is 2, meaning that it takes 2 units of x for the function to complete one cycle. The function crosses the x-axis at integer multiples of pi, where it changes direction between increasing and decreasing. The amplitude of the function is 1, as sin((pi)x) oscillates between -1 and 1. Overall, the graph of y = sin((pi)x) is a smooth, periodic curve that can be used to model a variety of physical phenomena, such as sound waves and electromagnetic radiation.
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