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If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=|x|), which pair shows that (f) is not one-one?

Answer and explanation

Correct answer: (2) and (-2)

Step 1: Absolute value can give the same output for positive and negative inputs. Step 2: (f(2)=2) and (f(-2)=2), while (2\ne -2). Step 3: In one-one tests, search for two different inputs with equal outputs.

Related tags

One-One FunctionAbsolute ValueCounterexampleOne One FunctionRelations And FunctionsMathematicsClass 12 Mcq

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