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Subjects
Class 11MathematicsRelations and FunctionsGraphs of standard functionsHard
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For \\(x<0\\), which line does the graph of the function \\(f(x)=|x|-x\\) coincide with?

Answer and explanation

Correct answer: \\(y=-2x\\)

When \\(x<0\\), we have \\(|x|=-x\\). Hence, \\(f(x)=|x|-x=-x-x=-2x\\), so the graph coincides with the part of the line \\(y=-2x\\) for which \\(x<0\\). Exam tip: resolve the modulus according to the sign of the variable before simplifying.

Related tags

Graphs Of FunctionsModulus FunctionPiecewise FunctionsGraphs Of Standard FunctionsRelations And FunctionsMathematicsClass 11 Mcq
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  7. 7Which shape represents the graph of (f(x)=x^2)?
  8. 8In which direction does the graph of (f(x)=-x^2) open?
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