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Step1: Recall the vertical line test
A graph represents a function if every vertical line intersects the graph at most once.
Step2: Apply the vertical line test to the given graph
For the provided U - shaped graph (a parabola - like graph), if we draw any vertical line (parallel to the y - axis) on the coordinate plane, it will intersect the graph at most one time. This satisfies the condition for a graph to be a function.
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Function