1. Warm up X = -1 Why is there only one answer? An absolute value will NEVER be negative.

2. 2-1 Relations and Functions Functions, Equations and Graphs Unit 2

3. Unit Objectives: Identify and use different forms of linear equations Identify and use transformations on graphs and equations/functions Model real-life situations with linear functions. Today’s Objective: I can graph relations and identify functions.

4. Relations: a set of input and output values Table of values InputOutput xy -34 3 4 43 Ordered pairs (input, output) (x, y) (-3, 4) (3, -1) (4, -1) (4, 3) Mapping Diagram InputOutput -34 3 4 3 Graphing

5. Domain:Range: Function: Set of all input values (x values) Set of all output values (y values) Each input has exactly one output DomainRange -3-2 01 47 {(-7, 14), (9, -7), (14, 7), (7, 14)} Function Not a Function Function Not a Function {(-3, 14), (0, 7), (2, 0), (9, -18), (23, -99)}

6. Function Rule: An equation that represents a function Output Dependent variable Input Independent variable Read: f of x Evaluate the function for x = 4 p. 65:10-24 (4,14) (-3,13)