VOCABULARY! EXAMPLES! Relation: Domain: Range: Function: 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) A function rule is: Function notation: To Evaluate a Function Rule: 1. 2. 3. An equation that describes a function Use f(x) to indicate the output of a function Plug in the input value(s) for x . . . Simplify to find the output values (order of operations!)

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

On #1-3 Tell whether each relation is a function. If so … Find domain and range from a table, mapping or graph. 1. 2. 3. Find the range of a function rule given a specific domain. 4. 5. On #1-3 Tell whether each relation is a function. If so … x y