How many functions \(f: \mathbb{R} \rightarrow \mathbb{R}\) satisfy \(f(1)=10\) and \(|f(x)-f(y)|=|x-y|\) for all \(x, y \in \mathbb{R}\) ?

• Correct answer
  A

  2
• B

  3
• C

  1
• D

  4

Hence, the correct answer is option: 'A'.