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Subjects
Class 12MathematicsRelations and FunctionsOne-one functionEasy
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Which of the following functions is not one-one on (\mathbb{R}\to\mathbb{R})?

Answer and explanation

Correct answer: (f(x)=x^2)

Step 1: In (x^2), (x) and (-x) give the same output. Step 2: For example, (f(3)=9) and (f(-3)=9). Step 3: The other functions are linear with non-zero coefficient of (x), so they are one-one.

Related tags

One-One FunctionComparisonSquare FunctionClass 12One One FunctionRelations And FunctionsMathematicsClass 12 Mcq
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  1. 1Which statement is true for a one-one function?
  2. 2If (f(2)=5) and (f(3)=5), what can be said about (f)?
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  6. 6If (f:\mathbb{R}\to(0,\infty)) and (f(x)=e^x), what type of function is (f)?
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  9. 9Which example proves that (f(x)=x^2+1) is not one-one on real numbers?
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