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Choose the correct alternative: If f(x) = |x − 2| + |x + 2|, x ∈ R, then - Mathematics

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प्रश्न

Choose the correct alternative:

If f(x) = |x − 2| + |x + 2|, x ∈ R, then

विकल्प

  • f(x) = `{{:(- 2x,  "if"  x ∈ (- ∞, - 2]),(4,  "if"  x ∈ (- 2, 2]),(2x,  "if"  x ∈ (2, ∞)):}`

  • f(x) = `{{:(2x,  "if"  x ∈ (- ∞, - 2]),(4x,  "if"  x ∈ (- 2, 2]),(- 2x,  "if"  x ∈ (2, ∞)):}`

  • f(x) = `{{:(- 2x,  "if"  x ∈ (- ∞, - 2]),(- 4x,  "if"  x ∈ (- 2, 2]),(2x,  "if"  x ∈ (2, ∞)):}`

  • f(x) = `{{:(- 2x,  "if"  x ∈ (- ∞, - 2]),(2x,  "if"  x ∈ (- 2, 2]),(2x,  "if"  x ∈ (2, ∞)):}`

MCQ

उत्तर

f(x) = `{{:(- 2x,  "if"  x ∈ (- ∞, - 2]),(4,  "if" x ∈ (- 2, 2]),(2x,  "if" x ∈ (2, ∞)):}`

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अध्याय 1: Sets, Relations and Functions - Exercise 1.5 [पृष्ठ ४६]

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सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
अध्याय 1 Sets, Relations and Functions
Exercise 1.5 | Q 4 | पृष्ठ ४६

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