Q. 105.0( 1 Vote )

Let A = {5, 6, 7,

Answer :

Here we are given


A = {5, 6, 7, 8 }


B = {–11, 4, 7, –10,–7, –9,–13 }


f = {( x,y) : y = 3 - 2x, x A, y B }


so we can find


f = {( x,y) : y = 3 - 2x, x A, y B }


f(5) = 3- 2×5 = 3-10 = -7


f(6) = 3 – 2×6 = 3-12 = -9


f(7) = 3 – 2×7 = 3-14 = -11


f(8) = 3 – 2×8 = 3- 16 = -13


(i) the elements of f are


From the above expression we get that


f = {(5,-7),(6,-9),(7,-11),(8,-13)}


(ii) co-domain


The co-domain is B and it can be given as


Codomain B = {-11,4, 7,-10,-7,-9,-13}


(iii) Range


Range may be defined as the image of A in B present in the function.


Range of f = {-7,-9,-11,-13}


(iv) type of function



From the above data and the diagram it’s clear that the given function is a one-one function as all the element A has a unique and single image in B. it’s not a onto function as the range is not same as the co-domain .


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
History - Concept and QuestionsHistory - Concept and QuestionsHistory - Concept and Questions57 mins
Revision on Substitution and  Elimination MethodRevision on Substitution and  Elimination MethodRevision on Substitution and Elimination Method44 mins
Trigo Marathon Part 1Trigo Marathon Part 1Trigo Marathon Part 146 mins
Trigo Marathon Part 2Trigo Marathon Part 2Trigo Marathon Part 245 mins
Arithmetic Progression and 'nth' Term of APArithmetic Progression and 'nth' Term of APArithmetic Progression and 'nth' Term of AP55 mins
Application of Trigo Important QuestionsApplication of Trigo Important QuestionsApplication of Trigo Important Questions44 mins
Economics - Concept and QuestionsEconomics - Concept and QuestionsEconomics - Concept and Questions59 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

A function <img sTamil Nadu Board - Math

Let A = { 6, 9, 1Tamil Nadu Board - Math

State whether theTamil Nadu Board - Math

Let A = {5, 6, 7,Tamil Nadu Board - Math

The following tabTamil Nadu Board - Math

Write the pre-imaTamil Nadu Board - Math

Represent the funTamil Nadu Board - Math

A function <img wTamil Nadu Board - Math

Let A = {4, 6, 8,Tamil Nadu Board - Math

For the given funTamil Nadu Board - Math