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In order to write f(x) = |x| + |x-2| without the absolute value signs, it it necessary to write it as a piecewise function.

We must define f as follows:

  • f(x) = -2x + 2, if x < 0
  • f(x) = 2, if 0 <= x <= 2
  • f(x) = 2x - 2, if x > 2
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Q: Express without absolute value symbols f of x equals absolute value x plus absolute value x-2?
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