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One-to-one functions analyzed

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Please help with circled questions.

Determine whether it is one-to-one.....

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Solution Summary

This provides examples of determining if functions are one-to-one.

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The "one-to-one" has two folds of meaning here:
(1) Each x has only one y or f(x) as its output, which is the definition of the function. All the followings are functions; therefore, we don't need to check this.
(2) Each y must be the image of only one x, in other words, each y or f(x) results from only one x.

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