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The question asks for the domain of the given sinusoidal graph. The domain of a sinusoidal function is the set of all possible input values (x-values) for which the function is defined. A standard sinusoidal graph, like the one shown, typically has a domain of all real numbers.

Since the graph is continuous without breaks or restrictions on the x-axis, we conclude that the domain is \( (-\infty, \infty) \), which corresponds to option **d**.

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Here are some related questions you might find interesting:
1. How can you find the amplitude of a sinusoidal graph?
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3. How do you determine the range of a sinusoidal function from its graph?
4. What transformations affect the domain and range of a sinusoidal function?
5. How does the phase shift of a sinusoidal graph impact its domain?

Tip: Sinusoidal functions, such as sine and cosine, have domains that are always \( (-\infty, \infty) \), as they are periodic and do not have any undefined points.

Given the following sinusoidal graph, determine the domain.

Learn how to determine the domain of a sinusoidal function using its graph. This problem covers key trigonometric concepts, including sine and cosine functions, and their domain properties. Suitable for students in Grades 9-12.

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