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A set of all possible values the function \(f(x)=\dfrac{x}{|x|}\), where \(x \neq 0\), takes is

Question and options

A set of all possible values the function f(x)=x∣x∣f(x)=\dfrac{x}{|x|}, where x≠0x \neq 0, takes is
  1. {1}\{1\}
  2. {1,−1}\{1,-1\}
  3. {1,0}\{1,0\}
  4. {1,0,−1}\{1,0,-1\}

Answer and explanation

Correct answer: B - \(\{1,-1\}\)
x/|x| = 1 for x>0 and -1 for x<0; 0 is excluded. Range {1,-1}.

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