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To determine the domain and range of the graph, we analyze the x - values (domain) and y - values (range) covered by the graph.
Step 1: Find the Domain
The domain of a graph is the set of all possible x - values (input values) for which the function is defined. Looking at the graph, we can see that the leftmost point has an x - coordinate of 1 and the rightmost point has an x - coordinate of 5. Also, the graph is defined for all x - values between 1 and 5 (inclusive). So, the domain is the interval from 1 to 5, which can be written in interval notation as \([1,5]\).
Step 2: Find the Range
The range of a graph is the set of all possible y - values (output values) that the function can take. By observing the graph, the lowest y - value (minimum) on the graph is - 5 and the highest y - value (maximum) is 2. The graph is defined for all y - values between - 5 and 2 (inclusive). So, the range is the interval from - 5 to 2, which can be written in interval notation as \([-5,2]\).
If we assume the question is to find the domain and range:
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Domain: \(\boldsymbol{[1, 5]}\), Range: \(\boldsymbol{[-5, 2]}\)