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Beginning Pre-Calculus for Game Developers by Boris Meltreger, John P. Flynt

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Functions

A function results when you discover a relationship between the values in a domain and the values in a range. Certain limitations apply to this relationship, however. First, each domain value must be unique. Second, each range value must correspond to only one domain value. Expressed differently, if you designate a number in the domain, then you find only one number in the range that corresponds to it. In this respect, since a one-to-one correspondence pertains between the values in the domain and the values in the range, the value of the number in the domain determines the value of the number in the range.

In Figure 4.10, a Cartesian system allows you to illustrate the functional relationship. This function establishes a pattern that ...

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