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http://www.purplemath.com/modules/fcns.htm
This page contains a tutorial and practice problems on determining if a relation is a function.
http://www.regentsprep.org/Regents/math/ALGEBRA/AP3/indexAP3.htm
This page contrasts relations
and functions, and provides practice distinguishing between the two.
http://www.algebralab.org/studyaids/studyaid.aspx?file=Algebra1_12-1.xml
This page contains an interactive tutorial on functions.
http://www.purplemath.com/modules/fcnops.htm
This page teaches how to perform the basic operations on functions.
http://www.mathsisfun.com/sets/functions-composition.html
This page explains the composition of functions, including practice problems.
http://www.purplemath.com/modules/fcncomp.htm
This series of pages teaches about composition and decomposition of function with some practical word problem examples.
http://www.purplemath.com/modules/invrsfcn.htm
This series of pages contains a full description of inverse functions, graphing them and the relationship
between a function and its inverse. (Click Next)
http://www.themathpage.com/aPreCalc/inverse-functions.htm
This page contains an interactive lesson on inverse functions. Pass mouse over each colored area to reveal.
http://www.intmath.com/Functions-and-graphs/Functions-graphs-intro.php
This page contains lessons, history, and applications of different types of functions.
http://www.mathsisfun.com/sets/functions-piecewise.html
This page discusses some special functions and their graphs.
http://coolmath.com/algebra/21-advanced-graphing/03-piecewise-functions-01.htm
This site devotes a couple pages to discussing piecewise functions and their graphs.
http://www.regentsprep.org/regents/math/algtrig/ATP9/indexATP9.htm
This page has links to demonstrate
and practice the various transformations of functions.
http://www.purplemath.com/modules/fcntrans.htm
This series of pages (click Next) discusses some of the many possible transformations of functions, and how their graphs are affected.