To graph the relation given by the pairs (1, 12), (12, 132), and (02, 32), we first need to understand what the domain and range are.
Domain: The domain of a relation is the set of all the first elements (x-values) of each ordered pair. In our case, we have the pairs:
- (1, 12)
- (12, 132)
- (02, 32)
The first elements are 1, 12, and 02. However, 02 is just 2 in numerical terms. Therefore, the domain is:
- Domain = {1, 12, 2}
Range: The range of a relation is the set of all the second elements (y-values) from each ordered pair. The second elements of our ordered pairs are 12, 132, and 32. So, the range is:
- Range = {12, 132, 32}
Now, to graph these points on a Cartesian plane:
- Plot the point (1, 12)
- Plot the point (12, 132)
- Plot the point (2, 32)
Once plotted, you will see a clear distribution of the points representing the relationship between the x and y values. Each point corresponds to the pairs listed. Note that the domain consists of unique x-values, and the range consists of unique y-values, which we have identified as above.