How do you determine whether the function f(x)=x^4sin2x is odd, even or neither
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How do you determine whether the function f(x)=x^4sin2x is odd, even or neither

[From: ] [author: ] [Date: 11-05-17] [Hit: ]
If its the negative of f(x), then f(x) is odd.If its the same as f(x), then f(x) is even.If its neither, then f(x) is neither.......
You plug in (-x) and see whether the resulting expression is the negative of f(x), the same as f(x), or neither.

If it's the negative of f(x), then f(x) is odd.
If it's the same as f(x), then f(x) is even.
If it's neither, then f(x) is neither.

(-x)^4 = x^4
sin(2*-x) = sin(-2x) = -sin(2x)
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