MTH 1320 Lecture Notes - Points Of The Compass
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Definition 1(let a and b be two sets. A function f from a to b is a rule that assigns to each object z in a an exactly one object y in b. The object y is usually denoted by f{x). The set a is called the domain of f. Let a be the set of all real numbers, and let b be the same as a. X^2 + x defines a function from a to b. Writing this we mean the rule that assigns to each real numbers its sum with its square. X in such formulas is called a variable. Example. f(x) = 3x^2+ 1 if x <1. One of the well-known functions of this type is the absolute ual e of x denoted by ixi defined by. Let f be a function defined on some open interval (recall) containing a real number c, except, possibly, at c.
