If R denotes the set of all real numbers then the function f : R → R defined f (x) = [x] isOne-one onlyOnto onlyBoth one-one and ontoNeither one-one nor onto

Question

If R denotes the set of all real numbers then the function f : R → R defined f (x) = [x] isOne-one onlyOnto onlyBoth one-one and ontoNeither one-one nor onto
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Solution 1

The function f(x) = [x] is defined as the greatest integer function or the floor function. It gives the greatest integer less than or equal to x.

  1. One-One (Injective) Function: A function is said to be one-one (or injective), if the images of different elements under the function are different, i Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob
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