Best answer:
The domain would be all real numbers, since I don't see any restrictions.
For the range, start with the inner function:
sin(x) oscillates between -1 and 1 (inclusive)
If you take the absolute value, the negative values (-1 to 0) will end up 0 to 1.
|sin(x)| goes between 0 and 1 (inclusive)
If you then square...
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Best answer: The domain would be all real numbers, since I don't see any restrictions.
For the range, start with the inner function:
sin(x) oscillates between -1 and 1 (inclusive)
If you take the absolute value, the negative values (-1 to 0) will end up 0 to 1.
|sin(x)| goes between 0 and 1 (inclusive)
If you then square a number between 0 and 1, it can't get smaller than 0 or bigger than 1. It will still be in that range.
|sin(x)|² goes between 0 and 1 (inclusive)
Answer:
Domain is all real values of x --> (-∞, ∞)
Range is 0 ≤ y ≤ 1 --> [0, 1]
6 answers
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12 hours ago