# MAT 0670 Chapter Notes -Euclidean Geometry

## Document Summary

Purposes when we are introduced to the primary characters for this semester 3. 1. To specify a function f, you must (1) provide a rule that explains how to calculate the function"s value f(x) for a specific real number x, and (2) describe the real numbers x to which the rule is applicable. A function"s domain is the collection of integers for which it is defined. The range of the function is the set of all possible values of f(x) as x varies over the domain. The rule has to be clear: the same x must always result in the same f. (x). For instance, f(x) = x for all x 0 can be used to create a function. The function f will take any nonnegative real number that begins with "take the square root of whatever number you"re given. " There are several variations of the rule that defines a function.