A15­2RelationsAndFunctions.notebook September 18, 2014 Algebra 1 Ch.5 Notes Page 24 P24 5­2 Relations and Functions Sep 2­8:31 AM 1 A15­2RelationsAndFunctions.notebook September 18, 2014 Relations A Relation is a set of ordered pairs (X, Y) A Function is a Relation that has one output for each input (For Each X, There is only One Y). 1 2 3 7 8 9 Oct 29­9:02 AM 2 A15­2RelationsAndFunctions.notebook September 18, 2014 Mapping Diagrams There is no value in the domain that corresponds to more than one value of the range. (Function) The domain value ­2 corresponds to two range values, ­1 and 1. (Not a Function) Nov 11­8:42 AM 3 A15­2RelationsAndFunctions.notebook September 18, 2014 Vertical Line Test If any vertical line passes through more than one point of the graph, then the graph does not represent a function. Nov 11­8:46 AM 4 A15­2RelationsAndFunctions.notebook September 18, 2014 Function Notation f(x) y is the same thing as f(x) Words used with Functions y = 3x + 4 f(x) = 3x + 4 Nov 11­8:50 AM 5 A15­2RelationsAndFunctions.notebook September 18, 2014 Making a Table from an Equation (Function Rule) Make a table for f(x) = 8 ­ 3x x 8 ­ 3x f(x) Nov 11­8:54 AM 6 A15­2RelationsAndFunctions.notebook September 18, 2014 Finding Ranges (Outputs) f(a) = ­3a + 5 Find the Range of the Function if the Domain is {­3, 1, 4} Nov 11­8:58 AM 7 A15­2RelationsAndFunctions.notebook September 18, 2014 HW #26 5­2 P259 #3­6,9­12,17,18,21­23,31­35,37,38 Please put your name and class period at the top of the homework. Also include the homework number. Sep 15­2:37 PM 8