The graph of a combination of line segments that passes the vertical line test is a non-function.
The vertical line test is a visual approach to determine if a curve is a graph of a function or not. For each unique input x, a function can only have one output y. If a vertical line intersects a curve on the xy-plane multiple times, the curve has more than one value of y for one value of x and hence does not represent a function.
The vertical line test is said to have passed if the graph has multiple values of y for one value of x.
Therefore, according to the definition above the graph of a combination of line segments that passes the vertical line test is a non-function.
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