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Chapter 3: Q.492 (page 359)

In the following exercises, for each relation, 鈸 find the domain of the relation 鈸 find the range of the relation.

{(5, 鈭2), (5, 鈭4), (7, 鈭6), (8, 鈭8), (9, 鈭10)}.

Short Answer

Expert verified

a) Domain of the relation

{(5, 鈭2), (5, 鈭4), (7, 鈭6), (8, 鈭8), (9, 鈭10)} is,

{5, 7, 8, 9}

b) Range of the relation

{(5, 鈭2), (5, 鈭4), (7, 鈭6), (8, 鈭8), (9, 鈭10)} is,

{-2, -4, -6, -8, -10}

Step by step solution

01

 Step 1. Given information

We have given relation is,

{(5, 鈭2), (5, 鈭4), (7, 鈭6), (8, 鈭8), (9, 鈭10)}

02

Step 2. Concept 

A relation is any set of ordered pairs, (x, y). All the x-values in the ordered pairs together make up the domain.

All the y-values in the ordered pairs together make up the range.

03

Part (a) Step 1. Explanation

We have,

{(5, 鈭2), (5, 鈭4), (7, 鈭6), (8, 鈭8), (9, 鈭10)}

Domain of the relation is the set of x values of order pairs.

Therefore domain of the relation is,

{5, 7, 8, 9}

04

Part (a) Step 2. Conclusion

Hence,

Domain of the relation

{(5, 鈭2), (5, 鈭4), (7, 鈭6), (8, 鈭8), (9, 鈭10)} is,

{5, 7, 8, 9}.

05

Part (b) Step 1. Explanation

We have,

{(5, 鈭2), (5, 鈭4), (7, 鈭6), (8, 鈭8), (9, 鈭10)}

Range of the relation is the set of all y values of order pairs.

Therefore range of the relation is,

{-2, -4, -6, -8, -10}.

06

Part (b) Step 2. Conclusion

Hence, range of the relation

{(5, 鈭2), (5, 鈭4), (7, 鈭6), (8, 鈭8), (9, 鈭10)} is,

{-2, -4, -6, -8, -10}.

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