Answer :

Given: R3 = {(x, |x|) |x is a real number} is a relation


To find: the domain and Range of R3


Explanation: Given R3 = {(x, |x|) |x is a real number}


Now we need to find the domain and range of set R3.


So, the domain of R3 consists of all the first elements of all the ordered pairs of R3, i.e., x, and it is also given x is a real number, so


Domain of R3 = R


And the range of R contains all the second elements of all the ordered pairs of R3, i.e., |x| and it is also given x is a real number, so


|x| = |R|


|x|≥0,


i.e., |x| has all positive real numbers including 0


So,


Range of R3 = [0, ∞)


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
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 :

Find the domain aRD Sharma - Mathematics

<span lang="EN-USRS Aggarwal - Mathematics

Find the doRS Aggarwal - Mathematics

Find the domain oMathematics - Exemplar

The domain of theMathematics - Exemplar

Fill in theMathematics - Exemplar

Domain of <span lMathematics - Exemplar

Fill in theMathematics - Exemplar

The domain for whMathematics - Exemplar

<span lang="EN-USRS Aggarwal - Mathematics