- #1

nycmathguy

- Homework Statement
- Determine which set is a function.

- Relevant Equations
- n/a

Here is the fuzzy definition of a function as presented by Ron Larson.

Definition of Function

A function f from a set A to a set B is a relation that assigns to each element x

in the set A exactly one element y in the set B. The set A is the domain (or set

of inputs) of the function f, and the set B contains the range (or set of outputs).

Larson goes on to say:

The ordered pairs below can represent a function. The first coordinate (x-value) is

the input and the second coordinate (y-value) is the output.

{(1, 9), (2, 13), (3, 15), (4, 15), (5, 12), (6, 10)}

Let me see.

The above set of elements is a function because every x-value is matched to a unique y-value. Correct?

I understand that the same value of x cannot cannot be matched to two different values of y.

For example, the following set does NOT represent a function, right?

(1, 9), (2, 13), (3, 15), (2, 15), (5, 12), (6, 10)}

In the given set, the number 2 is matched to 13 in the point (2, 13) and to 15 in the point (2, 15). This means the set is not a function.

Am I right here?

Definition of Function

A function f from a set A to a set B is a relation that assigns to each element x

in the set A exactly one element y in the set B. The set A is the domain (or set

of inputs) of the function f, and the set B contains the range (or set of outputs).

Larson goes on to say:

The ordered pairs below can represent a function. The first coordinate (x-value) is

the input and the second coordinate (y-value) is the output.

{(1, 9), (2, 13), (3, 15), (4, 15), (5, 12), (6, 10)}

Let me see.

The above set of elements is a function because every x-value is matched to a unique y-value. Correct?

I understand that the same value of x cannot cannot be matched to two different values of y.

For example, the following set does NOT represent a function, right?

(1, 9), (2, 13), (3, 15), (2, 15), (5, 12), (6, 10)}

In the given set, the number 2 is matched to 13 in the point (2, 13) and to 15 in the point (2, 15). This means the set is not a function.

Am I right here?