Fundamental Relations and Functions

Question 1

Let P = {1, 2, 3, 4, 5}. Let R = {(a, b): ab ≤ 30, a and b Î P}. The given relation is___________.

Answer 1

Universal relation

Question 2

The second element in a relation is called the of the_____________ first element.

Answer 2

image

Question 3

The f(x) = a0xn + a1xn–1 +a2xn–2…………+an from R ® R where nÎN and a0, a1, a2,……an Î R is called a__________.

Answer 3

Polynomial Function

Question 4

The set of all first elements in a relation is called_________ of the relation

Answer 4

Domain

Question 5

The function f(x) = g(x) such that f: R®R where g(x) and h(x) are polynomials defined on x and h(x) ≠0 is called a .
h(x)

Answer 5

Rational Function

Question 6

If the ordered pair (5x+3, 3y+2) and (18, 8) are equal find the value of x and y respectively.

Answer 6

3 & 2

Question 7

Let P = {1, 2, 3, 4, 5}. Let R = {(a, b): ab ≥ 30, a and b E P}. The given relation is____________.

Answer 7

Empty relation

Question 8

Let f be a function from R to R such that f(x) = x “ x ÎR. Then, the function f(x) is called the .

Answer 8

Identity Function

Question 9

Let P = {1, 2, 3, 4,_________20} & Q = {1, 3, 5, 7_________20}. Total how many relations are possible from set P to Q?

Answer 9

2^200

Question 10

The set of all second elements in a relation is called___________ of the relation.

Answer 10

Range

Question 11

How many elements will be there in the Cartesian product of set A and B if set A and B has 12 & 20 elements respectively?

Answer 11

120

Question 12

The function f(x) = k where f: R ® R and k is a constant and k, x Î R is called a .

Answer 12

Constant Function