Is the function $f(x) = \lfloor x \rfloor + \frac{1}{2}$ even, odd, or neither?

Enter "odd", "even", or "neither".
Question:
Is the function $f(x) = \lfloor x \rfloor + \frac{1}{2}$ even, odd, or neither?

Enter "odd", "even", or "neither".
Answer:
Let's think step by step.

user
\text{neither}
Is the function $f(x) = \lfloor x \rfloor + \frac{1}{2}$ even, odd, or neither?

Enter "odd", "even", or "neither".
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