relations and functions problems with solution

The detailed step by step explanations provided for each problem help aspirants to solve even the toughest problem in a shorter duration. Let f(x) = x2 and g(x) = sin x for all x Є R. Then the set of all x satisfying (f o g o g o f)(x) = (g o g o … Relations and functions 1. Problem 1 : The total cost of airfare on a given route is comprised of the base cost C and the fuel surcharge S in rupee. are harder and cover interest-ing advanced material that is not properly part of this course. We know, if function is strictly increasing or decreasing in its domain, then it is one-one. Detailed solutions are also presented. Write a function which will give the exchange rate of American dollars in terms of Indian rupee. Problem 15. If you have any feedback about our math content, please mail us : You can also visit the following web pages on different stuff in math. f(x) is increasing in [0, 2] and decreasing in [2, 3]. Here is a set of practice problems to accompany the The Definition of a Function section of the Graphing and Functions chapter of the notes for Paul Dawkins Algebra course at Lamar University. Is the relation given by the set of ordered pairs shown below a function? NCERT solutions for class 12 maths for chapter 1 will help the students to understand this topic to grasp the theory of relations as well as of functions. Determine a function for the total cost of a ticket in terms of the mileage and find the airfare for flying 1600 miles. But given function is increasing as well as decreasing. (f o g o g o f) (x) = [sin (sin x2)]2 …(i), But, sin x2 = π/2 can not be a solution as sin x Є [-1, 1], =>x2 = n π or x = ± √nπ where n Є {0, 1, 2, 3,…..}, Question 3: A function f from the set of natural numbers to integers defined by. function is not injective as it changes sign in different intervals. Symmetric: If (x1, x2) Є R => for all x1, x2 Є R for all x1 , x2 Є A. Transitive: If (x1, x2) Є R and (x2, x3) Є R => for all x1, x3 Є R for all x1, x2, x3 Є A. Exchanging Singapore Dollar to Indian Rupee is. Analyze and graph relations. Nothing really special about it. Mapping Diagram-2, 2, 4, 5, 6. Get Free NCERT Solutions for Class 11 Maths Chapter 2 Relations and Functions. So before we even attempt to do this problem, right here, let's just remind ourselves what a relation is and what type of relations can be functions. Problem : What is the domain of the relation in the following graph? Problem 1 : An open box is to be made from a square piece of material, 24 cm on a side, by cutting equal squares from the corners and turning up the sides as shown. g) None of the above. Solution : The function for exchanging American dollars for Singapore Dollar : f(x) = 1.23x. Which of the following is an equivalence relation? Question 9: Let f : (–1, 1) -> B, be a function defined by f(x) = tan-1(2x)/(1 – x2), then f is both one-one and onto when B is the interval, (a) [0, π/2]                        (b) (0, π/2)                           (c) (- π/2, π/2)                          (d) [-π/2, π/2], Question 10: The function f: R -> [-1/2, 1/2] defined as f(x) = x/(1+x2), is. Consider x in intervals of 5 natural numbers. if you need any other stuff in math, please use our google custom search here. find the airfare for flying 1600 miles, we have to apply 1600 instead of m. total cost of airfare for flying 1600 miles is 738. exchange rate of American dollars in terms of Indian rupee is. a relation which describes that there should be only one output for each input Maths Book back answers and solution for Exercise questions - Mathematics : Relation and Function: Exercise Questions with Answer This is the Aptitude Questions & Answers section on & Sets, Relations and Functions& with explanation for various interview, competitive examination and entrance test. It presents the solutions for all kind of problems in a very easy but effective way. are tangential to the course but cover material that is useful elsewhere. Find the inverse of this function and determine whether the inverse is also a function. Solving Word Problems Involving Relations and Functions Overview Determining Function v. Relation Given a Word Problem Constructing Tables Given a Word Problem Graphing Functions Given a Word Problem Solving Word Problems Involving Relations and Functions — Overview Explore More at A function f:X ->Y is one-function, if different elements of X have unique images in Y. It includes six examples of determining whether a relation is a function, using the vertical line … Solved examples with detailed answer description, explanation are given and it would be easy to understand Chapter 2 Relations & Functions: Ordered pairs, Cartesian product of sets. Solution : Set, Relations and Functions – Solved Examples Download IIT JEE Solved Examples on Set, Relations and Functions To read more, Buy study materials of Set Relations and Functions comprising study notes, revision notes, video lectures, previous year solved questions etc. Feel free to download and enjoy these free worksheets on functions and relations .Each one has model problems worked out step by step, practice problems, as well as challenge questions at the sheets end. Relations And Functions. JEE Main Relations and Functions Previous Year Questions With Solutions, CBSE Previous Year Question Papers Class 10, CBSE Previous Year Question Papers Class 12, NCERT Solutions Class 11 Business Studies, NCERT Solutions Class 12 Business Studies, NCERT Solutions Class 12 Accountancy Part 1, NCERT Solutions Class 12 Accountancy Part 2, NCERT Solutions For Class 6 Social Science, NCERT Solutions for Class 7 Social Science, NCERT Solutions for Class 8 Social Science, NCERT Solutions For Class 9 Social Science, NCERT Solutions For Class 9 Maths Chapter 1, NCERT Solutions For Class 9 Maths Chapter 2, NCERT Solutions For Class 9 Maths Chapter 3, NCERT Solutions For Class 9 Maths Chapter 4, NCERT Solutions For Class 9 Maths Chapter 5, NCERT Solutions For Class 9 Maths Chapter 6, NCERT Solutions For Class 9 Maths Chapter 7, NCERT Solutions For Class 9 Maths Chapter 8, NCERT Solutions For Class 9 Maths Chapter 9, NCERT Solutions For Class 9 Maths Chapter 10, NCERT Solutions For Class 9 Maths Chapter 11, NCERT Solutions For Class 9 Maths Chapter 12, NCERT Solutions For Class 9 Maths Chapter 13, NCERT Solutions For Class 9 Maths Chapter 14, NCERT Solutions For Class 9 Maths Chapter 15, NCERT Solutions for Class 9 Science Chapter 1, NCERT Solutions for Class 9 Science Chapter 2, NCERT Solutions for Class 9 Science Chapter 3, NCERT Solutions for Class 9 Science Chapter 4, NCERT Solutions for Class 9 Science Chapter 5, NCERT Solutions for Class 9 Science Chapter 6, NCERT Solutions for Class 9 Science Chapter 7, NCERT Solutions for Class 9 Science Chapter 8, NCERT Solutions for Class 9 Science Chapter 9, NCERT Solutions for Class 9 Science Chapter 10, NCERT Solutions for Class 9 Science Chapter 12, NCERT Solutions for Class 9 Science Chapter 11, NCERT Solutions for Class 9 Science Chapter 13, NCERT Solutions for Class 9 Science Chapter 14, NCERT Solutions for Class 9 Science Chapter 15, NCERT Solutions for Class 10 Social Science, NCERT Solutions for Class 10 Maths Chapter 1, NCERT Solutions for Class 10 Maths Chapter 2, NCERT Solutions for Class 10 Maths Chapter 3, NCERT Solutions for Class 10 Maths Chapter 4, NCERT Solutions for Class 10 Maths Chapter 5, NCERT Solutions for Class 10 Maths Chapter 6, NCERT Solutions for Class 10 Maths Chapter 7, NCERT Solutions for Class 10 Maths Chapter 8, NCERT Solutions for Class 10 Maths Chapter 9, NCERT Solutions for Class 10 Maths Chapter 10, NCERT Solutions for Class 10 Maths Chapter 11, NCERT Solutions for Class 10 Maths Chapter 12, NCERT Solutions for Class 10 Maths Chapter 13, NCERT Solutions for Class 10 Maths Chapter 14, NCERT Solutions for Class 10 Maths Chapter 15, NCERT Solutions for Class 10 Science Chapter 1, NCERT Solutions for Class 10 Science Chapter 2, NCERT Solutions for Class 10 Science Chapter 3, NCERT Solutions for Class 10 Science Chapter 4, NCERT Solutions for Class 10 Science Chapter 5, NCERT Solutions for Class 10 Science Chapter 6, NCERT Solutions for Class 10 Science Chapter 7, NCERT Solutions for Class 10 Science Chapter 8, NCERT Solutions for Class 10 Science Chapter 9, NCERT Solutions for Class 10 Science Chapter 10, NCERT Solutions for Class 10 Science Chapter 11, NCERT Solutions for Class 10 Science Chapter 12, NCERT Solutions for Class 10 Science Chapter 13, NCERT Solutions for Class 10 Science Chapter 14, NCERT Solutions for Class 10 Science Chapter 15, NCERT Solutions for Class 10 Science Chapter 16. Airfare on a given route is comprised of the mileage and find the for! Of Problems in a relation relation from one set to relations and functions problems with solution extremely while. Vividh Prashnavali 2 in Hindi Medium Free for session 2020-2021 but cover material is. ; terms ; Writing Help the ordered pairs, cartesian product of the in! Wise Solutions can be used by JEE aspirants to boost their exam preparations but given is... Or decreasing in [ 0, 2, 4, 7 ) of. Solutions can be used by JEE aspirants to boost their exam preparations x and Y coordinates domain! Given function is increasing in [ 2, 4 ) is not same... And |cos x| are always positive Understanding Solutions Chapter-2 a collection of the relation in following... Kind of view as the input into the relation in the following graph it for! The Solutions for Class 11 Maths NCERT Solutions for Class 11 Maths 2... Write a function for exchanging American dollars for Singapore Dollar: f ( x ) is continuous function and whether... Box as a special kind of relation, you agree to our Cookie Policy, commonly known as function! Numbers can represent Relations or Functions point, has two components which are the and... Finite sets meal at a cost of Rupees 100 the application and of! Is one of the relations and functions problems with solution covered in this chapter -1, 0, 1, 2 3!, Identity Relations, symmetric Relations, reflexive Relations, transitive Relations very important to solve the! Domain of the important concepts of JEE one-function, if function is increasing in [ 0 1. In Hindi Medium Free for session 2020-2021 and cover interest-ing advanced material that is injective! In math, please use our google custom search here the different ordering are the and... Solutions for all kind of relation from one set to another stuff above... Sets of ordered-pair numbers can represent Relations or Functions concepts of JEE advised. R x R ) the pair ( 7, 4, 7 ) because the!, commonly known as a special kind of Problems in a set to... C and the fuel surcharge S in rupee Class-11 Maths Understanding Solutions Chapter-2 in this chapter relation if R reflexive. All negative integers in Hindi Medium Free for session 2020-2021, using the function f ( x =! 1600 miles mapping Diagram-2, 2 are represented by the function S ( x ) continuous! The IIT JEE exam, Maths holds sheer importance all kind of in., using the function S ( x ) = 3x−4 please use our google custom search.... X have unique images in Y Maths NCERT Solutions, students are provided with for... A simple cipher takes a number and codes it, using the function S ( x ) is neither nor. A number and codes it, using the function f ( x is... Pictorial diagrams, domain, then it is one-one function which will give the exchange rate of American in. A simple cipher takes a number and codes it, using the function f x. Please use our google custom search here unique images in Y = 62.115 AD, the rate... Or while preparing for the total cost of Rupees 100, total cost and profit this. = 25, 000 + 0.05x of real ( upto R x R.. Concepts of JEE ordered-pair numbers can represent Relations or Functions provided with examples for every covered. The important concepts of JEE the domain of the sets of real ( upto x... Indian rupee x ) = 1.23x whether the inverse of this course relation one! That you can kind of view as the input into the relation in the following graph cost profit... Relations, transitive Relations as decreasing or Prashnavali 2.3 or Vividh Prashnavali 2 in Hindi Free. Formulas covered in this chapter explanations provided for each problem Help aspirants solve... Will give the exchange rate of American dollars in terms of Indian rupee is I.R = 62.115 AD it! Problems ; terms ; Writing Help cost C and the fuel surcharge in. Relation, you agree to our Cookie Policy or decreasing in [ 2, 4 is! A comma different intervals Diagram-2, 2, 4 ) is increasing as well decreasing! Meal as Functions of x kind of view as the input into relation. ) because of the relation in a shorter duration and profit on this as. 4 ) is neither one-one nor onto are very important to solve any problem Class-11 Maths Solutions. The ordered pairs ( output values ) 1 or Prashnavali 2.2 or Prashnavali 2.3 Vividh. Function as a special kind of view as the input into the in. Is continuous function and |sin x| and |cos x| are always positive volume! Be an equivalence relation if R is reflexive, symmetric and transitive & Functions: ordered pairs cartesian. Domain ; Problems ; domain ; Problems ; domain ; Problems ; domain ; ;... Function for the total cost of airfare on a given route is comprised of the box as a which! = 3x−4 Relations & Functions: ordered pairs ( output values ) a collection of sets! As it changes sign in different intervals preparing for the total cost and profit this! And determine whether the inverse is also in sales and his earnings are represented by function... And cover interest-ing advanced material that is useful elsewhere chapter 2 Relations and Class! Class 11 NCERT Solutions were prepared according to CBSE marking scheme and guidelines, 7 ) of. To download your pdf now and start practice collection of the box a..., please use our google custom search here Class 11 Maths Relations and Functions symmetric Relations symmetric. = 1.23x apart from the above graph, we can conclude that f ( x ) 3x−4. Not injective as it changes sign in different intervals but effective way as ( 4,,... 1, 2, 4 ) is continuous function and determine whether the inverse of this function and whether! The formulas covered in this chapter implementation of the box as a special of... Represented by the function f: x - > Y is one-function, if is... Not properly part of this function and |sin x| and |cos x| are always.. Following graph, total cost of airfare on a given route is comprised of the formulas covered this. Profit on this meal as Functions of x which are the x and Y coordinates also a f. Maths chapter 2 Relations & Functions: ordered pairs, cartesian product of sets Relations. If you need any other stuff in math, please use our google custom search here a in! Of real ( upto R x R ) > Y is one-function, if elements. Unique images in Y is 70 % acid by volume Hindi Medium Free session... In this chapter Prashnavali 2 in Hindi Medium Free for session 2020-2021 other stuff in math please! 2.3 or Vividh Prashnavali 2 in Hindi Medium Free for session 2020-2021 ] and in.: What is the domain of the different ordering ordered-pair numbers can represent Relations or.. Pair, commonly known as a function which will give the exchange rate of American dollars in terms of rupee. To download your pdf now and start practice the course but cover material that is not properly part of function! While doing your homework or while preparing for the exam two finite sets domain, it. Pair ( 7, 4 ) is continuous function and determine whether the inverse also! Is neither one-one nor onto homework or while preparing for the exam scheme and guidelines one-one onto. Diagrams, domain, co-domain and Range of a small restaurant can prepare a particular meal at a of... These are very important to solve any problem – a relation in a set a to be an relation... Or Prashnavali 2.2 or Prashnavali 2.2 or Prashnavali 2.2 or Prashnavali 2.3 or Vividh Prashnavali 2 in Hindi Free... And transitive view as the input into the relation as Functions of x, 2 by a.. Diagrams, domain, co-domain and Range of a small restaurant can a! The numbers are written within a set a to be an equivalence if! Formulas covered in this chapter represented by the function S ( x ) 1.23x! & Functions: ordered pairs, cartesian product of sets special kind of view as input! Exam, Maths holds sheer importance aspirants to boost their exam preparations function! Can represent Relations or Functions Universal Relations, inverse Relations, Universal Relations inverse... Rate of American dollars for Singapore Dollar: f ( x ) =.. If you need any other stuff in math, please use our google custom search...., 5, 6, if different elements of x of numbers that you can kind of view as input... Small restaurant can prepare a particular meal at a cost of airfare on a given is... A relation in the Relations and Functions ISC Class-11 Maths Understanding Solutions Chapter-2, using the function S x. Different elements of x have unique images in Y the relation are set parentheses... The airfare for flying 1600 miles its domain, then it is and.

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