Final Answer:
The domain of the group of points O is {-2, 0, 1.5, 3, 3.5, 4, 4.5}.
Step-by-step explanation:
The domain of a set of points refers to the collection of all the x-coordinates of those points. In this case, the given points are O(-2), O(1.5), O(3), O(3.5), O(4), and O(4.5). To find the domain, we simply list out all the unique x-coordinates from these points. The x-coordinates are -2, 1.5, 3, 3.5, 4, and 4.5. Therefore, the domain of the group of points O is {-2, 0, 1.5, 3, 3.5, 4, 4.5}.
In mathematics, when dealing with a set of points or a function, it’s important to understand the concept of domain as it represents all possible input values for which the function or set of points is defined. By identifying the x-coordinates of the given points and listing them out without repetition, we obtain the domain of the group of points O as {-2, 0, 1.5, 3, 3.5, 4, 4.5}. This provides a clear understanding of the range of x-values that are associated with the given set of points.
Understanding domains and ranges is fundamental in various mathematical concepts such as functions and sets of points. It allows us to comprehend the scope and limitations of a particular mathematical entity and is crucial for further analysis and calculations involving these entities.