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If (R={(x,y):x=|y|,\ x\in{1,2},\ y\in{-2,-1,1,2}}), why is (R) not a function from (A={1,2}) to (B={-2,-1,1,2})?

Answer and explanation

Correct answer: (x=1) has images (y=-1) and (y=1)

For (x=1), two possible (y)-values exist, so uniqueness fails. Read an absolute value relation with direction carefully.

Related tags

Absolute-Value-RelationNot-FunctionClass11Functions As A Special Kind Of RelationRelations And FunctionsMathematicsClass 11 Mcq

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