Practicing Success
A. A relation R on a set A is called an equivalence relation, if it is reflexive, symmetric and transitive. B. The function f: R→ R defined by () x f x e = is not one-one. C. The one-one function is also known as injective function. D. The onto function is also known as subjective function. E. A function f: X→Y is said to be many-one, if two or more than two elements in set X have the different image in set Y.
Choose the correct answer from the option given below:
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A, C, D only B, C, D only C, D, E only B, D, E only |
A, C, D only |
A is correct B. f(x) = ex is a one-one function. ∵ f'(x) = ex > 0 ∀X ∈ R. C & D options are also correct. So option 1 is correct i.e., (A, C, D only) |