9A Functions The Building Blocks of Mathematics

9A Functions The Building Blocks of Mathematics - 9A:...

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Unformatted text preview: 9A: Functions (date) Basics Definition A function is a rule that assigns to each member of an input set exactly one member of an outpout set. The input set for a function is called the domain of the function and the output set is called the range of the function. Remark A function consists of 3 parts Domain Range Rule Remark In a function it is possible that some members of the range may have multiple members of the domain associated to them. However, each member of the domain must have exactly one member of the range associated to it. Example 1. Hourly pay Suppose your job pays you at an hourly rate of $9/hr. Then your weekly pay defines a function. Domain: Possible number of hours worked per week { x : 0hr x 40hr } Range: Possible weekly pay amount { y : $0 y $360 } Rule: Given the hours worked, multiply by the hourly pay rate $9/hr P ( x ) = $9 / hr x hrs Notice that to each input (number of hours worked) there is precisely one output (pay amount). For example, the inputamount)....
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This note was uploaded on 01/08/2012 for the course MGF 1107 taught by Professor Staff during the Spring '08 term at University of Florida.

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9A Functions The Building Blocks of Mathematics - 9A:...

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