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Check whether the function has (have) y...

Check whether the function has (have) y-symmetry or origin symmetry: ` f(x) = x^(2) sin x`.

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To determine whether the function \( f(x) = x^2 \sin x \) has y-axis symmetry or origin symmetry, we will follow these steps: ### Step 1: Check for y-axis symmetry A function has y-axis symmetry if \( f(-x) = f(x) \). 1. **Calculate \( f(-x) \)**: \[ f(-x) = (-x)^2 \sin(-x) ...
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