imo class 12 continuity and differentiability

If f(x) = |x − 3| + |x − 4|, then the minimum value of f(x) is:

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If f(x) = |x − 3| + |x − 4|, then the minimum value of f(x) is:

  • A. 1
  • B. 0
  • C. 7
  • D. −1

Answer: A) 1

Explanation: f(x) = distance from x to 3 + distance to 4, minimum when x is between 3 and 4, value = 1.

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