Questions: What is the period of the sinusoidal function? Enter your answer in the box.

What is the period of the sinusoidal function? Enter your answer in the box.
Transcript text: What is the period of the sinusoidal function? Enter your answer in the box.
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Solution

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Solution Steps

Step 1: Identify the length of one cycle.

The period of a sinusoidal function is the horizontal length of one complete cycle. Observe the graph and pick two consecutive maximum points. For example, the graph reaches a maximum at \(x = -5\) and the next maximum occurs at \(x = 1\).

Step 2: Calculate the period.

The difference between the x-coordinates of two consecutive maximum points gives the period of the function. In this case, it's \(1 - (-5) = 1 + 5 = 6\).

Final Answer The final answer is $\boxed{6}$

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