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:
Answer & explanation
Correct answer: option 1
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)