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Question: Identify the domain and range for the graph.



A ) Domain is the set of all real numbers and the range is {- 2}.
B ) Domain is the set of all positive real numbers and range is set of all real numbers.
C ) Domain is the set of all real numbers and range is the set of all positive real numbers.
D ) Domain is the set of all real numbers and the range is {2}.

Steps to derive

1 The domain is the set of all first elements in the ordered pairs and range is the set of all second elements in the ordered pairs.

2 From the graph, we can observe that the domain of the graph is the set of all real numbers.

3 As the second element of the ordered pairs remains constant throughout the graph, the range of the graph is {2}.

4 Therefore, the domain is the set of all real numbers and range is {2}.



Hence the right answer is Option D

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