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Unformatted text preview: Math 150, Fall 2007, c Benjamin Aurispa Chapter 2: Functions 2.1 What is a Function? Functions are often used in real-word situations when one thing depends on another thing. Examples: • The area of a circle is a function of the radius. • The average temperature of a city is a function of its latitude. • Your grade in a class is a function of the amount of time you study. A function f is a rule that assigns to each element x in its domain exactly one element, called f ( x ), in its range. If we have that y = f ( x ), we say y is a function of x , and call x the independent variable and y the dependent variable. The domain of f is the set of values x can be. The range of f is the set of all possible values of f ( x ) (the y values). We have already talked about domain. Remember that the denominator cannot be 0 and that anything under a square root (or any even root) must be greater than or equal to 0....
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This note was uploaded on 10/08/2009 for the course MATH 150 taught by Professor Unknown during the Fall '08 term at Texas A&M.
- Fall '08