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Unformatted text preview: Math 1650 Lecture Notes 2.1 Jason Snyder, PhD. What Is a Function? Page 1 of 6 2.1: What Is a Function Definition of Function A function is a rule. In order to talk about a function, we need to give it a name. We will use letters such as f, g, h, to represent functions. For example, we may let f represent the following rule: f is the rule square the number When we write f (3), we means apply the rule f to the number 3. Applying the rule gives f (3) = 3 2 = 9. We will usually consider functions for which the set A and B are sets of real numbers. The symbol f (x) is rea d f of x and is called the value of f at x . The set A is called the domain of f . The range of f if the set of all possible values of f ( x ) as x varies throughout the domain, in other words range of = ? : ? . The symbol that represents an arbitrary number in the domain of a function is called an independent variable . The symbol that represents a number in the range is called a dependent variable...
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- Spring '06