Answer :
- The period is the length of one complete cycle of the function.
- The amplitude is the maximum distance from the sinusoidal axis to either the peak or the trough.
- The equation of the sinusoidal axis represents the horizontal line that divides the graph of the function into two equal halves.
- The range is the set of all possible y-values that the function can take.
For example, let's consider the function y = 2sin(3x). The period of this function is 2π/3, as one complete cycle is completed in that interval. The amplitude is 2, as the maximum distance from the sinusoidal axis to the peak or trough is 2. The equation of the sinusoidal axis is y = 0, as it passes through the midpoint between the peak and the trough. The range of this function is [-2, 2], as it can take any value between -2 and 2.
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