VOCABULARY! EXAMPLES! Relation: Domain: Range: Function: Functions can be represented by: Graphs Tables Mappings Ordered Pairs Function Rules A set of ordered pairs The set of all the input (x) values The set of all the output (y) values A special relation that has exactly ONE output for each input (or exactly ONE y value for each x value) ( , ) f(x) = 2x + 1 g(x) = 4x h(x) = x2 -1 Input Output

Input-Output Tables Mappings By looking at each input-output table or mapping, tell whether or not the relation is a function. If it is a function, state the domain and range. Input-Output Tables Mappings 1. 2. 4. 5. 3. Input Output x y x y

VERTICAL LINE TEST GRAPHS can represent functions. The ____________________ ___________ __________ can help you test whether or not a graph is a function. Remember: There can only be ONE y value for each x value. If you run your pencil across two points vertically above one another, it is NOT a function! Determine which graphs are functions Can the graph of a function be a horizontal line? A vertical line? Explain why or why not. VERTICAL LINE TEST