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

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What is the range of (f(x)=|x-5|-|x-1|)?

Answer and explanation

Correct answer: ( [-4,4] )

The difference of distances from fixed points (1) and (5) lies from (-4) to (4). Remove signs interval-wise and check endpoint values.

Related tags

Real-Valued-Functions Range Modulus Distance Real Valued Functions Their Domain And Range Real Valued Functions Their Domain And Range Relations And Functions Mathematics

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