This computer science problem involves algorithmic thinking and programming concepts. The solution below explains the approach, logic, and implementation step by step.

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Answer
the box for Graph 1 should
Step 1: Understand the definition of a function. A graph represents a function if it passes the vertical line test. This means that any vertical line drawn through the graph intersects the graph at most once. If a vertical line intersects the graph at two or more points, then the graph does not represent a function.
Step 2: Apply the vertical line test to Graph 1. Graph 1 shows a diamond shape. Consider the vertical line (the y-axis). This line passes through the points and on the graph. Since the vertical line intersects the graph at two different points, Graph 1 fails the vertical line test.
Step 3: Conclude whether Graph 1 is a function. Because Graph 1 fails the vertical line test, it does not represent a function.
Therefore, the box for Graph 1 should not be checked. Graph 1 is not a function.
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Understand the definition of a function. A graph represents a function if it passes the vertical line test.
This computer science problem involves algorithmic thinking and programming concepts. The solution below explains the approach, logic, and implementation step by step.