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Class 11MathematicsRelations and FunctionsGraphs of standard functionsExpert
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For the graph of the function \(y=\min(x,-1)\), what is the value of \(y\) when \(x>-1\)?

Answer and explanation

Correct answer: \(y=-1\)

When \(x>-1\), the value of \(x\) is greater than \(-1\). Therefore, the smaller of \(x\) and \(-1\) is always \(-1\), so \(y=\min(x,-1)=-1\). Option B is incorrect because \(y=x\) applies when \(x\leq -1\). Exam tip: For a minimum function, select the smaller expression and check the boundary value \(x=-1\).

Related tags

Graphs Of Standard FunctionsPiecewise FunctionsMinimum FunctionRelations And FunctionsMathematicsClass 11 Mcq
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