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State whether the following functions ar...

State whether the following functions are odd or even.
`f(x) = (sin^(4)x)/([(x)/(2)]+(1)/(2)), x in (-2, 2)`

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To determine whether the function \( f(x) = \frac{\sin^4 x}{\frac{x}{2} + \frac{1}{2}} \) is odd or even, we will follow these steps: ### Step 1: Understand the Definitions A function \( f(x) \) is: - **Even** if \( f(-x) = f(x) \) for all \( x \) in the domain. - **Odd** if \( f(-x) = -f(x) \) for all \( x \) in the domain. ### Step 2: Calculate \( f(-x) \) ...
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