Question # 1

The extraction of a cube root of a given number is a

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Binary operation

Unary operation

group

multiplicative inverse

If no two elements of ordered pairs of a function from A onto are the same, then it is called.

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Surjective

Injuctive

Bijective

on to

Which of the following is surjective

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A function f from A to B can be written as

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If no two elements of ordred pair of a function from A into B are equal, then it is called

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surjective

injuctive

bijective

on to

Which of the following notation defines AxB

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The graph of a constant line is

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vertical line

parabola

circle

horizontal line

A function from A to B is called on-to function, if its range is

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A

B

A and B

neither A nor B

If the number of elements in set A is n, and in set B is m, then the number of elements in AxB will

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n^m

mⁿ

m x n

m + n

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injuctive as well as surjective

both onto and into

one - one and into

only (1 - 1)

A relation A into B in which Domain is not equal to A, is called

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into function

onto function

None of these

surjective

The function denoted by 1/f called the

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Reciprocal function

Inverse function

Constant function

Reverse function

If A is non-empty set, any subset of A x A is called a relation in

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A

B

∅

r

The set of first elements of the ordered pairs forming the relation is called its

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domain

range

ordered paris

relation

A relation a into B in which Domain is not equal to a, is called.

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Into function

on to function

None of these

Surjective

ax+by+c = 0 , represents a

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Circle

Parabola

Straight line

Quadratic circle

Identity element, if it exists, is

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inverse

unique

commutative

associative

A function∫ will have an inverse function if and only if it is a

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onto function

into function

Constant

one-one function

Which of the following diagrams represent bijective function?

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(a,b) (c,d) if and only if

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a = b and c =d

a = d and b = c

a = c and b = d

a - b = c - d

the function y = mx+c is, called linear function, because

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it has only two variables

it has one varible

its graphs is straight line

its graphs is circle

Which of the following represent injuctive function

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Let A and B be two non-empty sets, then any subset of the cartesian product AxB is called a

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function

domain

range

binary relation

If no two elements of ordered pair of a functions from A into B are equal, then it is called.

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Surjective

Injuctive

Bijective

Onto

The identity function is

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surjective

injuctive

bijective

into

Function is a special type of

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relation

ordered pairs

Cartesian product

Set

Such a function which is (1 -1) is called

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surjective

injuctive

bijective

into

arb mean

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a is related to b

b is related to a

a is reciprocal of b

a is not related to b

A semi-group having an identity is called a

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groupoid

non-commutative

abelian

monoid

Negation of a given number is an example of

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Binary operation

group

unary operation

function

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ECAT Mathematics Chapter 4 Functions & Groups Online Test MCQs With Answers

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