VOCABULARY! EXAMPLES! Relation: Domain: Range: Function: Functions can be represented by: Graphs Tables 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) ( , ) y = 2x + 1 y = 4x y = x2 -1 Input Output
Input-Output Tables By looking at each input-output table, tell whether or not the relation is a function. If it is a function, state the domain and range. 1. 3. 2. 4. Input Output x y Input Output x y
Make an input-output table for a function given a specific domain. State the range of the function. 5. 7. 6. 8.
To create an input-output table from the given rule: Step 1: 1. 3. Step 2: 2. 4. Choose values for x (It is best to choose two negative values, zero, and two positive values). Evaluate the function at these values and complete the input-output table.