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HW – pgs. 76-78 (3, 6, 9, . . ., 42) 2.1-2.3 Quiz FRIDAY www.westex.org HS, Teacher Website 9-24-12 GOAL: I will be able to: 1. represent relations. 2. determine if a relation is a function. 3. find the domain and range of relations and functions. HW – pgs. 76-78 (3, 6, 9, . . ., 42) 2.1-2.3 Quiz FRIDAY www.westex.org HS, Teacher Website Name _________________________ ALG 2 CPA 2.1 Represent Relations and Functions Definitions: Date ________ Relation: ________________________________________________ Domain: _________________________________________________ Range: __________________________________________________ Example: Given the following relation A, state the domain and the range. A (1,5),(3, 2),(2,1),(4, 3),(5,1) Domain: Range: Another way to show a relation is to use a mapping diagram, which links elements of the domain with the corresponding elements of the range. Given: (4,9),(6,2),(5,9),(3, 4) Domain Range Make a mapping diagram for the relation (1, 2),(3,6),(5, 10),(3,2) Function: _________________________________________________ _________________________________________________________ Example: Given the following relations, make a mapping and determine whether the relation is a function. 1.) (1,1),(2,2),(3,5),(4,2) 2.) (1, 2),(2, 0),(1,2),(1,3) Graphing a relation on a coordinate plane gives you a visual way to determine whether it is a function. You can use the ____________ _______ _______. Graph each set of ordered pairs on the coordinate plane provided. Is the relation a function? 1.) (5,5),(5, 5),(0,3),(0, 3) y 2.) (4,2),(2, 0),(4,2),(2, 4) y x x Use the vertical line test to determine whether each graph represents a function. Some functions can be represented by equations. The following notation is used to represent a function described by an equation: y 2x 1 can be written in function notation as f (x ) 2x 1 The symbol f (x ) is read as “f of x” and represents the value of the equation for a particular element of the domain. Example: If f (x ) 2x 1 , then f (3) means find the value of the function when the value of x 3 . The result can be represented as an ordered pair. f (3) 2(3) 1 7 So (3,7) is a member of the relation determined by this function. Find f (3) , f (0) , and f (5) for each function. 3 f (a ) a 1 1.) 2.) f (x ) 3x 5 4 3.) f (y ) y 2 2y 3 f (3) = f (3) = f (3) = f (0) = f (0) = f (0) = f (5) = f (5) = f (5) = Finding Domain and Range from a Graph EXIT TICKET Name _______________________ 9-24-12 A function is a special relation. Explain what this means. EXIT TICKET Name _______________________ 9-24-12 A function is a special relation. Explain what this means. EXIT TICKET Name _______________________ 9-24-12 A function is a special relation. Explain what this means. EXIT TICKET Name _______________________ 9-24-12 A function is a special relation. Explain what this means. EXIT TICKET Name _______________________ 9-24-12 A function is a special relation. Explain what this means.