Chapter 2: Q1. (page 74)

State the domain and range of the relation $\{(2, 5), (- 3, 2), (2, 1), (- 7, 4), (0, - 2)\}$

Short Answer

Expert verified

Thedomain of the given relation is $\{- 7, - 3, 0, 2\}$ and the range of the given relation is $\{- 2, 1, 2, 4, 5\}$ .

Step by step solution

– State the concept

A relation is a set of ordered pairs, The domain is the set of all first coordinates from the ordered pairs and the range is the set of all second coordinates from the ordered pairs.

– List the given data

The relation $\{(2, 5), (- 3, 2), (2, 1), (- 7, 4), (0, - 2)\}$ .

– State the domain

The set of all first coordinates from the ordered pairs of the given relation is $\{2, - 3, 2, - 7, 0\}$ .
Writing duplicate elements once and arranging in ascending order, the set is $\{- 7, - 3, 0, 2\}$ .
This is the domain of the given relation.

– State the range

The set of all second coordinates from the ordered pairs of the given relation is $\{5, 2, 1, 4, - 2\}$ .
Arranging the elements in ascending order, the set is $\{- 2, 1, 2, 4, 5\}$ .
This is the range of the given relation.

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State the domain and range of the relation $\{(2, 5), (- 3, 2), (2, 1), (- 7, 4), (0, - 2)\}$

Short Answer

Step by step solution

– State the concept

– List the given data

– State the domain

– State the range

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State the domain and range of the relation 2,5,-3,2,2,1,-7,4,0,-2

Short Answer

Step by step solution

– State the concept

– List the given data

– State the domain

– State the range

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

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Study anywhere. Anytime. Across all devices.

State the domain and range of the relation $\{(2, 5), (- 3, 2), (2, 1), (- 7, 4), (0, - 2)\}$