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Subjects
Class 12MathematicsRelations and FunctionsOne-one functionEasy
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If a function has the same image for two different inputs, what type of function will it be?

Answer and explanation

Correct answer: Not one-one

Step 1: Such repetition is not allowed in a one-one function. Step 2: If two different inputs have the same image, the condition fails. Step 3: One counterexample is enough to disprove one-one.

Related tags

One-One-FunctionCounterexampleConceptOne One FunctionRelations And FunctionsMathematicsClass 12 Mcq
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  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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