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What is the range of (f(x)=|x-2|-|x+2|)?

Answer and explanation

Correct answer: ( [-4,4] )

The difference of distances from (2) and (-2) stays between (-4) and (4). Removing signs interval-wise is the safe method.

Related tags

Relations-FunctionsRangeModulusDistanceReal Valued FunctionsTheir Domain And RangeReal Valued Functions Their Domain And RangeRelations And FunctionsMathematics

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