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If \(f(x)=|x-6|\), what is the value of \(f(2)\)?

Answer and explanation

Correct answer: 4

Substituting \(x=2\), we get \(f(2)=|2-6|=|-4|=4\). Therefore, 4 is correct. The closest distractor is \(-4\), but an absolute value represents a non-negative distance from zero. Exam tip: substitute the given input first, then evaluate the modulus.

Related tags

Function-ValueModulus-FunctionDomain-And-RangeClass11Real Valued FunctionsTheir Domain And RangeReal Valued Functions Their Domain And RangeRelations And FunctionsMathematics

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