Class_Notes_2.1

# Class_Notes_2.1 - 29 29 29 29 29 29 1 3 a f b f c f-Guiding...

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Section 2.1 Class Notes Guiding Problem #1 Information often comes in related pairs: name-birthdate, name-telephone number, food item-calorie count, calorie count-grams of fat, natural numbers-their opposites. Sometimes these relationships are unambiguous. That is, knowing the first piece of information guarantees a single, specific, related piece of information. In this case, the relationship is called a function of the first piece of information. Identify the functions in the above list of relations. Follow-up Question Determine whether the equation defines y as function of x . ( 29 ( 29 ( 29 ( 29 2 2 2 2 3 4 5 7 10 3 a y x x b y x c x y d y x = - = - + = = - Guiding Problem #2 For ( 29 2 2 3 f x x x = - + - find ( 29 ( 29 ( 29 ( 29 ( 29 ( 29

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Unformatted text preview: ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 1 3 a f b f c f-Guiding Problem #3 Find the domain of each function. ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 2 2 2 2 5 2 3 1 4 x a f x x b f x c f x d f x x x x = + = = = + + Guiding Problem #4 For ( 29 2 3 f x x =-and ( 29 2 2 g x x = find ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 2 3 f a f g x b f g x c f g d g +-Answers: GP1. yes, no, yes, no, yes FU. (a) yes (b) no (c) yes (d) yes GP2. (a) -3 (b) -6 (c) -6 GP3. ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 , ,0 0, , 4, a b c d----ȥ GP4. ( 29 ( 29 ( 29 ( 29 2 2 1 2 2 3 2 2 3 8 6 a x x b x x c d +--+-...
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