हिंदी

Find the maximum and minimum value, if any, of the function given by f(x) = |x + 2| − 1.

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प्रश्न

Find the maximum and minimum value, if any, of the function given by f(x) = |x + 2| − 1.

योग
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उत्तर

Given function f(x) = |x + 2| - 1, f (x) ≥ -1; ∀ x ∈ R

|x + 2| has a minimum value of 0. 

∴ Minimum value of f = -1

x + 2 = 0 i.e., when x = -2

|x + 2| can have maximum value infinity.

Hence, the maximum value does not exist.

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अध्याय 6: Application of Derivatives - Exercise 6.5 [पृष्ठ २३२]

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एनसीईआरटी Mathematics Part 1 and 2 [English] Class 12
अध्याय 6 Application of Derivatives
Exercise 6.5 | Q 2.1 | पृष्ठ २३२

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