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Which statement is correct for (f:\mathbb{R}\to \mathbb{R}), (f(x)=\lfloor x\rfloor)?

Answer and explanation

Correct answer: Not onto because only integer values are obtained

Step 1: (\lfloor x\rfloor) gives the greatest integer not greater than (x). Step 2: Hence its range is (\mathbb{Z}), not (\mathbb{R}). Step 3: For the floor function, decimal target values are never obtained.

Related tags

Relations And FunctionsOnto FunctionFloor FunctionMathematicsClass 12 Mcq

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