To determine the domain of the set of coordinates, we focus on the x-values from the given set of coordinates. The coordinates provided are:
\[ {(1,0),(2,2),(3,5),(4,7),(5,12)} \]
From this set, the x-values are:
- From (1, 0): x = 1
- From (2, 2): x = 2
- From (3, 5): x = 3
- From (4, 7): x = 4
- From (5, 12): x = 5
Thus, the domain, which is the set of all x-values, is:
\[ {1, 2, 3, 4, 5} \]
Therefore, the domain of the set of coordinates \({(1,0),(2,2),(3,5),(4,7),(5,12)}\) is:
\[ {1, 2, 3, 4, 5} \]