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NDA 2023
Exam
NDA
Year
2023
Subject
Mathematics
Chapter
Functions

NDA 2023 · Mathematics · Functions

Paragraph: Consider the function f(x)=|x-2|+|3-x|+|4-x| , where x ∈...

Paragraph: Consider the function f(x)=∣x−2∣+∣3−x∣+∣4−x∣f(x)=|x-2|+|3-x|+|4-x|, where x∈Rx \in \mathbb{R}
Question: What is the minimum value of the function?

Options

  1. A22
  2. B33
  3. C44
  4. D00

Correct answer

A. 22

Step-by-step solution

Minimum value is at x=3f(3)=2x=3f(3)=2
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