Scribd
Upload
92 views2 pages

Relation & Function

This document contains a worksheet with 10 problems related to relations and functions for a National Institute of Open Schooling secondary course. The problems cover topics like writing relations, finding Cartesian products, determining domains and ranges of relations and functions, combining functions, and examples of odd and even functions.

Uploaded by

FRANCIS
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
92 views2 pages

Relation & Function

This document contains a worksheet with 10 problems related to relations and functions for a National Institute of Open Schooling secondary course. The problems cover topics like writing relations, finding Cartesian products, determining domains and ranges of relations and functions, combining functions, and examples of odd and even functions.

Uploaded by

FRANCIS
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
You are on page 1/ 2

NIOS/Acad/2020/311/02/E

National Institute of Open Schooling (NIOS)


Senior Secondary Course
Lesson – 02: Relations and Functions-I
Worksheet-02

1. Write a relation R ‘is capital of” from set A to set B, where set A having five
capitals and set B having five states of India.
2. Let A = {1, 2, 3} and B = {a, b}, Find Cartesian product of A  B and B  A , and
verify A  B  B  A
3. R be a relation from N to N defined by R   x, y  : 2 x  y  10, x, y  N 

Find (i) R in the roster from


(ii) Domain and Range of R
4. For the function F  x   y  3x  2,

Find the range of the function when domain = {–2, 1, 3, 2}

5. Find the domain of the functions


1
(i) y  for x  R
 x  5 x  7 
1
(ii) y  for x  R
2x  3

6 Let A = {1, 2, 3, 4, 5}. R be the relation on A defined by : {(a, b): a,b  A , a

divided b}
i. Write relation R in roster form
ii. Represent R through arrow diagram
iii. Find domain and range of R
7 Let f  x   3x  2 and g  x   2 x  1 be the two real functions. Find out the

functions
(i) f  g  x

(ii) f  g  x 
8 Give that A = {1, 2, 3}, B = {3, 4} and C = {4, 5}
Verify that (i) A   B  C    A  B    A  C 

(ii) A   B  C    A  B    A  C 

9 If f  x   x  5,0  x  6, then find the range of the function and represent it

through arrow diagram.

10 Cite suitable examples of odd functions and even functions. Draw a graph of any
odd function and even function, and write your observations from the graph.

You might also like