give the domain and the range for the following set of ordered pairs and determine if the ordered pairs represent a function.

A)

(1,2)(3,4)(5,5)(4,4)(5,4)

B)

(4,1)(5,1)(6,1)(7,1)(8,1)

in each case, all the 1st coordinates are the domain, and the 2nd coordinates are the range.

If no element of the domain appears more than once, it is a function.

To find the domain and range for the set of ordered pairs and determine if the ordered pairs represent a function, we can follow these steps:

A)
The domain of a set of ordered pairs refers to the set of all possible x-values, while the range represents the set of all possible y-values.

1) Domain:
We can identify the domain by looking at all the x-values in the given set of ordered pairs. The x-values of the given ordered pairs are 1, 3, 5, and 4. So, the domain for set A is {1, 3, 4, 5}.

2) Range:
We determine the range by examining all the y-values in the given set of ordered pairs. The y-values of the given ordered pairs are 2, 4, 5, 4, and 4. Hence, the range for set A is {2, 4, 5}.

3) Determining if the ordered pairs represent a function:
To determine if the ordered pairs represent a function, we need to check if there are any repeated x-values with different y-values. In set A, the ordered pairs (5,5) and (5, 4) have the same x-value (5), but different y-values (5 and 4). Since there is a repeated x-value with different y-values, the set of ordered pairs does not represent a function.

B)
1) Domain:
The x-values in the given ordered pairs are 4, 5, 6, 7, and 8. Thus, the domain for set B is {4, 5, 6, 7, 8}.

2) Range:
The y-values in the ordered pairs are all 1. Therefore, the range for set B is {1}.

3) Determining if the ordered pairs represent a function:
In set B, all the x-values have the same y-value (1). Since there are no repeated x-values with different y-values, the set of ordered pairs represents a function.