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Chapter 2: Q65. (page 67)

State the domain and range of each relation. Then graph the relation and determine whether it is a function.

65. 0,2,1,3,2,-1,1,0

Short Answer

Expert verified

The domain of the given relation is 0,1,2and range is 2,3,-1,0.

Step by step solution

01

Step 1- Given information

A relation set0,2,1,3,2,-1,1,0.

02

Step 2- Concept used

The domain of a relation set is the set of all first elements of the ordered pairs.

The range of a relation set is the set of all second elements of the ordered pairs.

A relation set is called a function if every element of domain has a unique image.

03

Step 3- To find domain and range

The relation set is:

0,2,1,3,2,-1,1,0

The domain of the given relation set is:

0,1,2

The range of the given relation set is:

2,3,-1,0

Here, each element of the domain has not a unique image.

As 1 have two image 3 and 0.

So, the given relation set is not a function.

04

Step 4- The graph of the relation

The graph of the given relation is:

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