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If \(A=\{1,2,3,4\}\), \(B=\{0,1\}\), and the function \(f:A\to B\) is defined by \(f(x)=0\) when \(x\) is even and \(f(x)=1\) when \(x\) is odd, what is the value of \(f(4)\)?

Answer and explanation

Correct answer: 0

The number 4 is even, so the given rule gives \(f(4)=0\). Option 1 is incorrect because it corresponds to an odd input, while 4 is even; 4 is the input, not the function value. Exam tip: first check whether the input is even or odd, and then apply the matching rule.

Related tags

Relations-FunctionsPiecewise-FunctionEven-OddFunctions As A Special Kind Of RelationRelations And FunctionsMathematicsClass 11 Mcq

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