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Chapter 2: Q17. (page 60)

Determine whether each relation is a function. Write yes or no.

Short Answer

Expert verified

Yes, the given relation is a function.

Step by step solution

01

– Definition of function.

A relation is a function if each element of the domain is paired with exactly one element of the range.

A relation is not a function if there exist an element in the domain paired with more than one element of the range.

02

– Given information.

The given arrow diagram of a relation is:

03

– Check whether the relation is function or not.

The set notation of the given relation is 10,1,20,3,30,2.

In this relation 10 is related to 1, 20 is related to 3 and 30 is related to 2. Since each element of the domain is paired with exactly one element of the range, therefore the given relation is a function.

Thus, the required answer is yes because the given relation is a function.

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