How do you know if #x*sin x# is an even or odd function?

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How do you know if #x*sin x# is an even or odd function?

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Answer 1 · 2015-11-11T01:25:56

Even

Explanation:

A function f is even if the graph of f is symmetric with respect to the y-axis. Algebraically, f is even if and only if f(-x) = f(x) for all x in the domain of f.

Here is graph and note the symmetry with the y-axis :

enter image source here

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How do you know if #x*sin x# is an even or odd function?

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