Because a function is defined as having distinct outputs for every input therefore... you can never have two values for one x value and you can see this relationship by drawing a vertical line.
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By doing a vertical line test. If you can draw a vertical line and it only passes through the graph once, its a function. If it passes through twice, it is NOT a function.
If a vertical line passes through the supposed function at only one spot then you have a function.
The vertical line test! Imagine a vertical line going through all points of the graph. As long as the vertical line only touches the graphed line once, it's a function. If it touches more than once, it is not.
It is a function. If the graph contains at least two points on the same vertical line, then it is not a function. This is called the vertical line test.
A function can never be a vertical line, because it then fails the definition of a function: every x value outputs only 1 y value. The vertical line test will determine if a relation is a function. If a vertical line intersects the graph of the function at more than one place, it is not a function.