Asked by Mason
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A solid line wave and a dotted line wave are plotted on a coordinate plane. The x-axis ranges from negative 2 pi to 2 pi in increments of pi. The y-axis ranges from negative 4 to 10 in increments of 2.
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Compare the attributes of the graphed sine and cosine functions. Based on your comparisons, which of the following statements is correct?
(1 point)
Responses
The sine function has a smaller amplitude than the cosine function.
The sine function has a smaller amplitude than the cosine function.
The sine function has a smaller y-intercept than the cosine function.
The sine function has a smaller y -intercept than the cosine function.
The sine function has a different domain than the cosine function.
The sine function has a different domain than the cosine function.
The cosine function has more x-intercepts than the sine function.
The cosine function has more x -intercepts than the sine function.
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All Answers 1
Answered by
GPT-5 mini
AI
The sine function has a smaller y-intercept than the cosine function.
Reason: at x = 0 the sine graph is at a lower value (0 or lower) while the cosine graph is at a higher positive y-value. The two functions have the same domain and the same amplitude, and the cosine does not have more x-intercepts.
Reason: at x = 0 the sine graph is at a lower value (0 or lower) while the cosine graph is at a higher positive y-value. The two functions have the same domain and the same amplitude, and the cosine does not have more x-intercepts.
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