20.8k views
19 votes
Which of the following represents a function

User Nidhoegger
by
8.2k points

1 Answer

4 votes

Answer:

All of the examples define relations between a domain and range.

Such a relation will be a function if and only if each value in the domain corresponds to at most one value in the range.

In the first example, the value

1

in the domain is associated with two values in the range, namely

5

and

1

.

In the second example, the value

1

in the domain is associated with two values in the range, namely

7

and

1

.

In the third example, the value

3

in the domain is associated with two values in the range, namely

2

and

4

.

In the fourth example, each of the values in the domain is associated with one value in the range, so this describes a function. Note however that the values

4

and

7

are both mapped to

5

. So the function described is not one to one and consequently its inverse is not a function.

User DGuntoju
by
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories