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For the function \(f(x)=\operatorname{sgn}(x+4)\), what is the value of \(f(x)\) when \(x<-4\)?

Answer and explanation

Correct answer: -1

When \(x<-4\), we have \(x+4<0\). The signum function has value \(-1\) for a negative input, so \(f(x)=-1\). Remember that \(x=-4\) would give an input of zero and hence a value of \(0\), but equality is not included here.

Related tags

Relations-And-FunctionsStandard-FunctionsSignum-FunctionGraphsGraphs Of Standard FunctionsRelations And FunctionsMathematicsClass 11 Mcq

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