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If the function \(h:\{1,2,3,4,5\}\to\{0,1\}\) is defined by \(h(x)=0\) when \(x<3\) and \(h(x)=1\) when \(x\geq 3\), what is the value of \(h(3)\)?

Answer and explanation

Correct answer: 1

Since \(3\geq 3\), the condition \(x\geq 3\) applies, so \(h(3)=1\). The value 0 is assigned only when \(x<3\), not when \(x=3\). Exam tip: Pay close attention to whether the boundary value is included by symbols such as \(<\) and \(\geq\).

Related tags

Relations-And-FunctionsPiecewise-FunctionBoundary-ValueFunction-EvaluationFunctions As A Special Kind Of RelationRelations And FunctionsMathematicsClass 11 Mcq

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