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Unformatted text preview: Lesson 21 Function:- a connection between sets in which each element of the first set corresponds with exactly one element of the second set - the first set is called the domain and the second set is called the range Functions as equations:- in terms of an equation, a function can thought of as a rule that states what operations are performed on the inputs - the domain is the set of inputs and the range is the set of outputs - in order for an equation to be a function, every input can have only one output - functions are represented by arbitrary letters, such as ¡ ¢¡ £ ¤ Domain : - set of inputs for which a function is defined - if an input makes a function undefined, it is not part of the domain - be aware of restrictions Range: - set of outputs, or function values, determined by the inputs from the domain Example 1: For each of the following functions, sketch the graph, list the domain and range in interval notation, find the intervals where the function is increasing and decreasing, and list the intercepts....
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