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Even and odd functions

Sets, relations and functions · Mathematics

Study notes

Q: Classify: (a) f(x) = x^4 - 3x^2 (b) g(x) = x^3 + 2x (c) h(x) = x^2 + x. (a) f(-x) = x^4 - 3x^2 = f(x). Even. (b) g(-x) = -x^3 - 2x = -g(x). Odd. (c) h(-x) = x^2 - x ≠ ±h(x). Neither.

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