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IA_GPS_6

# IA_GPS_6 - and give the domain and range a 1,4 3,5(1,2(7 2...

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R0907 a.s. http://faculty.valencia.cc.fl.us/ashaw INTERMEDIATE ALGEBRA GPS #6 2.1 FUNCTIONS AND THEIR REPRESENTATIONS NAME: Useful Definitions: * A relation is a set of ordered pairs. For example: {( 1,4),( 3,5),(1,2),(7, 2)} ! ! ! * A function is a relation in which, for each value of the first component of the ordered pairs, there is exactly one value of the second component. * In a relation, the set of all values of the independent variable is the domain ; the set of all values of the dependent variable is the range . * Vertical Line Test: If every vertical line intersects the graph of a relation only once, the relation is a function . 1. State whether each relation defines a function
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Unformatted text preview: and give the domain and range . a) {( 1,4),( 3,5),(1,2),(7, 2)} ! ! ! b) {(2,7),(3, 4),(2,0),(1, 2)} ! ! 2. Use “vertical line test” to check whether each relation defines y as a function of x . Give the domain . a) 3 4 y x = + b) 3 y x = 3. Let ( ) 2 3 f x x = ! + and 2 1 ( ) 3 1 4 g x x x = ! + + . Find the following. a) (1) f = b) ( 2) g ! = c) ( ) f m = d) ( ) g x ! = e) ( 1) f x + = f) ( ) g k ! = 4. For each function, find (1) f and ( 2) f ! . a) {( 2,4),(3,6),(1,0),(7,2)} f = ! b) {(1,2),( 3,0),( 2,9),(4,2)} f = ! ! 5. Graph each linear function. Give the domain and range . Label the function and the points. a) ( ) 3 6 f x x = + b) 1 ( ) 1 2 g x x = ! +...
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