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If \(f(x)=|x|\) and \(A=\{-2,0,3\}\), what is the image set \(f(A)\)?

Answer and explanation

Correct answer: \(\{0,2,3\}\)

Apply the function to each element of \(A\): \(f(-2)=|-2|=2\), \(f(0)=0\), and \(f(3)=3\). Hence, \(f(A)=\{2,0,3\}=\{0,2,3\}\). Option B is just the original set \(A\), not its image under \(f\). Exam tip: To find an image set, evaluate the function for every element of the given set and list each resulting value only once.

Related tags

FunctionsRelationsImage SetModulus FunctionSetsReal Valued FunctionsTheir Domain And RangeReal Valued Functions Their Domain And RangeRelations And Functions

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