One-To-One Functions Determined

A function f is defined on a set of real numbers. Is f one-to-one? Please give explanation so I may understand.

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... the given domain (in your case, the real numbers excluding zero), a horizontal line should not cross the graph in more than one spot. Linear functions that are not flat, like y=x+2 pass the horizontal line test. Quadratic functions like y=x^2 do not ...