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Subjects
Class 12MathematicsRelations and FunctionsOne-one functionEasy
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If (f:\mathbb{R}\to\mathbb{R}), (f(x)=(x+1)^2), which pair is a correct counterexample for one-one testing?

Answer and explanation

Correct answer: (0) और (-2)

Step 1: (f(0)=(1)^2=1). Step 2: (f(-2)=(-1)^2=1), while (0\neq-2). Step 3: A counterexample should clearly show two different inputs with the same output.

Related tags

One-One FunctionCounterexampleQuadratic FunctionClass 12One One FunctionRelations And FunctionsMathematicsClass 12 Mcq
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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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