Using the concepts of domain and range of functions, we have that:
10. The range is y ≥ 2.
11. The domain is all real numbers, the range is y ≤ 3, and it is a function.
12. The domain is (-4,3], and the range is (-5,5).
<h3>What are the domain and the range of a function?</h3>
- The domain of a function is the set that contains all the values of the input. In a graph, it is represented by the values of x.
- The range of a function is the set that contains all the values of the output. In a graph, it is represented by the values of y.
Hence, for these problems:
10. The range is y ≥ 2.
11. The domain is all real numbers, the range is y ≤ 3, and it is a function.
12. The domain is (-4,3], and the range is (-5,5).
In item 11, we have that it is a function because it has no vertically aligned points, that is, each value of x is associated with only one value of y.
In item 12, the open intervals are due to the open circles at the extremes of the domain and the range on the graph.
More can be learned about the domain and the range of functions at brainly.com/question/10891721
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