ফাংশনের নূন্যতম মান f(x) = |x - 4| কীসে বিদ্যমান?

  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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অনুসৃত ধারণা:

|-a| = a, যেখানে a = ধ্রুবক

 

গণনা:

আমাদের আছে, f(x) = |x - 4|

এ, x = 0, f(0) = |0 - 4| = 4

এ, x = 2, f(2) = |2 - 4| = |-2| = 2

এ, x = 4, f(4) = |4 - 4| = 0

এ, x = -4, f(-4) = |-4 - 4| = 8

সুতরাং, x = 4 এ, আমরা নূন্যতম মান পাব

অতএব, বিকল্প (3) সঠিক।

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