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Paragraph: Consider the function f(x)=|x-2|+|3-x|+|4-x| , where x R Question: At what value of x does the function attain minimum value?

Options

  1. A2
  2. B3
  3. C4
  4. D0

Correct answer

B. 3

Step-by-step solution

f(x)=|x-2|+|3-x|+|4-x|f(2)=0+1+2=3f(3)=1+0+1=2f(4)=2+1+0=3f(0)=2+3+4=9 x=3 is correct.

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