FUNCTION OR NOT? 3.06 DETERMINE THE CHARACTERISTICS OF THE RELATIONS GIVEN Identify if each is: Continuous or Discrete Linear or Non-linear If linear, identify the equation of the line CHARACTERISTICS OF RELATIONS Continuous or Discrete? Discrete Linear or Non-linear? Linear y = 2x + 3 Function or not? Function FUNCTION OR NOT? Go back to each graph and determine if each relation is a function or not a function. VERTICAL LINE TEST A visual way to determine if a relation is a function or not Draw vertical lines for every x-value in the domain to see if they cross the relation more than once. If each line crosses the relation only once, it is a function. WHAT IF I DON’T HAVE A GRAPH? As a team, determine if each relation given is a function without graphing the points. Be creative and organized! MAPPING If you are not given a graph, there are many different ways to organize your information to determine if you have a function or not. One method is called mapping. 1) Write the domain in one oval and the range in another. 2) Draw lines to connect the x-values to their matching y-values 3) Determine if any x-values have more than one y-value MAPPING Relation A: Relation B: (-5, -2) (-1, -8) (9, -8) (4, 8) (-5, -8) (4, 8) (-5, -2) Function! Not a function! PRACTICE MAPPING As a team, try the mapping method on your paper. WHAT METHOD DO YOU PREFER? Determine if the final two relations are functions or not. Your justification can be in words, a map, a graph, or work shown in any method that you would like.