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medium · GMAT Quantitative Reasoning

A quality control metric f(x) is defined for all non-zero real numbers x by f(x) = x^3 - 2x + 6 for x > 0 and f(x) = x^3 - 2x - 6 for x < 0.

For any non-zero real number x, what is the value of f(x) + f(-x)?

  1. 12
  2. 2x^3 - 4x
  3. 0
  4. 12|x|
  5. 2x^3

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