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First recall that a function is one to one if no two elements in its domain have the same element in the range

One trick to finding out if a function is one to one is to use the Horizontal line test. You may view the link for a better explanation.

The main idea is if a horizontal line intersects the graph of a function more than one time, then the function is not one to one. This is important because if it is not one to one, it has no inverse.

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Q: What test determines if a function is one to one?
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