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Then only one value in the domain can correspond to one value in the range. Example: You can also quickly tell if a function is one to one by analyzing it's graph with a simple horizontal-line test. If the horizontal line only touches one point, in the function then it is a one to one function other wise it's not. Example: A function is said to be one-to-one if each x-value corresponds to exactly one y-value. A function f has an inverse function, f -1, if and only if f is one-to-one. A quick test for a one-to-one function is the horizontal line test. If a horizontal line intersects the graph of the function in more than one place, the functions is NOT one-to-one. A 1-to-1 function passes a vertical line test and a horizontal line test. This record is not due to good test-taking skills, but it is due to the function's domain and range. Every x -value of a 1:1 function can yield only one possible value of y (as with any function), and every y -value corresponds with only one value of x .