MCQs of Relations and Functions

Showing 1 to 10 out of 98 Questions

T h e r e l a t i o n S = {1, 1}, (2, 2), (3, 3), (4, 4), (5, 5)} o n {1, 2, 3, 4, 5} i s_____

S i s d e f i n e d i n Z b y (x, y) \in S \Leftrightarrow | x - y | \leq 1 . S i s_____

(a)	reflexive and transitive but but not symmetric.
(b)	reflexive and symmetric but not transitive.
(c)	symmetric and transitive but not reflexive.
(d)	an equivalence relation.

I f S i s d e f i n e d o n R - {0} b y (x, y) \in S \Leftrightarrow x y \geq 0 . T h e n S i s_____

Which of the following defined on Z is not an equivalence relation

_____

(a)	$(x, y) \in S \Leftrightarrow x \geq y$
(b)	$(x, y) \in S \Leftrightarrow x = y$
(c)	$(x, y) \in S \Leftrightarrow x - y i s a m u l t i p l e o f 3$
(d)	$(x, y) \in S i f \| x - y \| i s e v e n$

f : R \to R, f (x) = 3^{x} + 3^{| x |} =_____

f : R - {q} \to R - {1}, f (x) = \frac{x - p}{x - q}, p \neq q, t h e n f i s_____

f : [- 1, 1] \to [- 1, 1], f (x) = - x | x | i s_____

I f f : R \to R, f (x) = 2 x - 3, t h e n_____

f : [- \frac{π}{2}, \frac{π}{2}] \to [- 1, 1] i s a b i j e c t i o n i f_____

10.

f : R \to R, f (x) = x^{2} + 2 x + 3 i s_____

Showing 1 to 10 out of 98 Questions