Blue Day – 1/6/2015 Gold Day – 1/7/2015

 Study of functions  Relations  Functions  Last day to do a schedule change is Friday, January 16,  Student Holiday – Monday, January 19, 2015

Definition my wordsFacts/characteristics ExamplesNonexamples Relation A relation is a set of pairs of input and output values. Anything that can be graphed and written in ordered pair form. There are multiple ways to represent a relation: Ordered Pairs Input/output table Points on a coordinate plane Mapping Equations Words (sentence) {(4,7), (3,2), (0,0), (-1,-4)}

 Ordered Pairs  We always write ordered pairs in curly braces, called Brackets, with commas in between each ordered pair.  Example:

 Input/Output Table  The input is always an ____.  The output is always a ____.  In a vertical table, x always goes on the left.  In a horizontal table, x always goes on top.  Ex: x y

 Coordinate Plane  The ______ coordinate tells us to move left and right.  The ______ coordinate tells us to move up and down.  Examples ▪ (-3,0) ▪ (1,2) ▪ (-2,-3) ▪ (2,-1) x y

 Mapping Diagram  In the left box/oval, write all of the inputs ____. Do not repeat any values!  In the right box/oval, write all of the outputs ____. Do not repeat any values!  Draw an arrow from each input value to its output value. Input Output

 Put all of the ordered pairs into the mapping diagram. {(-4,0), (-1,-2), (-1,0), (0,5), (1,5), (5,3)} Input Output

Definition in your own wordsFacts/characteristics ExamplesNonexamples Function A function is a relation where every input has exactly one output. Data in which no x value is repeated. (Vertical Line Test) If you can draw a vertical line through the graph that it more than once, it is NOT a function. We say “the relation fails the vertical line test.”

 2 Assignments  Function/Not a function Assignment ▪ Cut out each of the images and glue them on the green sheet in the correct section, function or not a function.  Facts about Functions ▪ Identify which relationships are functions. You MUST explain why or why it isn’t a function.  Ticket Out

 What is a relation?  List the 4 ways a relation can be represented.  What is a function?