If U = {1,2,3,4} and R = {(x,y) : y > x for all, x, \(y\in U\)}, then find domain and range of R.

2

(a)

Let\(f:\left[ 2,\infty \right] \rightarrow R\) and \(g:\left[ -2,\infty \right] \rightarrow R\)  be two real functions defined by \(f(x)=\sqrt { x-2 } \) and \(g(x)=\sqrt { x+2 } \). Find \(f+g\) and \(f-g\)

2

(a)

Express R = {(x,y) : x²+ y²= 25, where x,y \(\in\) W} as a set of ordered pairs

2

(a)

Determine the domain and range of the relation R, where R = {(-3,1),(-1,1),(1,0),(3,0)}

2

(a)

The given figure shows a relationship between the sets P and Q.Write this relation

in set builder form

2

(a)

If A = {1, 2, 3}, B = {3, 4} and C = {1, 3, 5}, find (A x B) \(\cap\) (A x C)

2

(a)

Let A = {1, 2, 3, 4, 6}. Let R be the relation on A defined by {(a, b): a, b \(\in\) A , b is exactly divisible by a}. Find the domain of R.

2

(a)

Let A = {1, 2, 3, 4, 6}. Let R be the relation on A defined by {(a, b): a, b \(\in\) A , b is exactly divisible by a}. Find the range of R.

2

(a)

Let A = {1, 2, 3}, B = {2, 3, 4, 5}, state as to which of the following sets R represents a relation of set A into set B?
If R represents a relation, write its domain and range.
R = {(1, 2), (1, 3), (2, 2)}

2

(a)

Which of the following relations are functions? Give reasons if it is a function, and determine the domain and range{(4, 1), (6, 2), (8, 3), (10, 4), (12, 5)}

2

(a)

Which of the following relations are functions? Give reasons if it is a function, and determine the domain and range {(3, 10), (5, 12), (7, 14), (5, 16)}

2

(a)

Find the domain and range of the following functions:
f(x) = \(3\over 2-x\)

2

(a)

Find the domain and range of the following functions:
f(x) = x² - 3x +\({13\over4}\)

2

(a)

Let A = {1, 3}, B = {2, 4} and C = {1, 5}. Find A x A x A

2

(a)

Let A = {1, 3}, B = {2, 4} and C = {1, 5}. Find A x B x C

2

(a)