1. Notes:Relations and Functions Section 1-6 Student Objective: The students will be able to identify relations and functions and evaluate functions. 1.Definitions: a.Relation – set of ordered ___________ b. Domain – ____________ coordinate in the ordered pair (2,4) Domain={ } c. Range – _____________ coordinate in the ordered pair Range={ } d. Function – relation where each element in the ______________ (x) is paired with exactly 1 element in the _____________ (y). or: relation that assigns exactly one value in the range to each value in the domain.

2. a. ordered pairs (2,2) (3,2) (7,8) (-4, -3) (-4, 8) b. domain { ____, ____, ____, ____} c. range {____, ____, ____} Do not repeat answers. To find the inverse of a relation, switch the x and y coordinates. The ordered pairs for the inverse of the relation above would be (, ), (, ), (, ), (, ), and (, ). 2. Demonstrate mapping a relation (determine ordered pairs, range, and domain) 2 3 7 -4 2 -3 8 DomainRange

3. 3. Using an x-y table with a list of points, determine the ordered pairs, domain, and range DomainRange 32 40 -22 40 67 -6-3.8 DomainRange 32 40 -22 45 67 -6-3.8 Ordered Pairs are: (, ) Ordered Pairs are: (, ) Function: ______________Function: _______________

4. 4. Create a list of ordered pairs to solve the following equations. Show the values on a graph and demonstrate the vertical line test to determine if it is a function. y = 3x – 8 X 2 = y + 2 DomainRange DomainRange

5. 5.Independent and Dependent Variables a.Independent Variable – the input value or the domain value b. dependent Variable – the output value or the range value Look at the previous examples on your paper. Closure: 1.What is a relation? 2. What is the domain and range? 3.What is a function? 4. Explain the vertical line test.