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The minimum value of the function f(x) = |x - 4| exists at

  1. x = 0
  2. x = 2
  3. x = 4
  4. x = -4

Answer (Detailed Solution Below)

Option 3 : x = 4
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Detailed Solution

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Concept:

|-a| = a,  where a = constant

 

Calculation:

We have, f(x) = |x - 4|

At, x = 0, f(0) = |0 - 4| = 4

At, x = 2, f(2) = |2 - 4| = |-2| = 2

At, x = 4, f(4) = |4 - 4| = 0

At, x = -4, f(-4) = |-4 - 4| = 8

So , at x = 4, we get minimum value 

Hence, option (3) is correct.

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