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Class 11 Mathematics Relations and Functions Real-Valued Functions, Their Domain and RangeExpert

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If (f(x)=\sqrt{x+4}+\sqrt{4-x}), what is the range of (f)?

Answer and explanation

Correct answer: ( [2\sqrt{2},4] )

At the endpoints the value is (2\sqrt{2}), and at (x=0) the maximum is (4). For symmetric radical functions, also check the midpoint.

Related tags

Relations-Functions Range Radical Symmetry Real Valued Functions Their Domain And Range Real Valued Functions Their Domain And Range Relations And Functions Mathematics

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