scag5e_ppt_3_1

# scag5e_ppt_3_1 - f there is exactly one image f x in the...

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Section 3.1 Functions

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OBJECTIVE 1
A relation is a correspondence between two sets. If x and y are two elements in these sets and if a relation exists between x and y , then we say that x corresponds to y or that y depends on x , and we write x y .

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FUNCTION

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Determine whether each relation represents a function. If it is a function, state the domain and range. {(-2, 3), (4, 1), (3, -2), (2, -1)} {(2, 3), (4, 3), (3, 3), (2, -1)} {(2, 3), (4, 1), (3, -2), (2, -1)}
Determine if the equation defines y as a function of x . 1 3 2 y x = - - Determine if the equation defines y as a function of x . 2 2 1 x y = +

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OBJECTIVE 2

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FUNCTION MACHINE
The name of the function is f . The independent variable or argument of f is p . ( 29 2 f p p = q is called the dependent variable ( 29 If q f p = ( 29 3 9 f = 9 is the value of f at 3 or 9 is the image of 3. State the domain and the range of f .

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( 29 2 For the function defined by 3 2 , evaluate: f f x x x = - +

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(a) For each x in the domain of

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Unformatted text preview: f , there is exactly one image f ( x ) in the range; however, an element in the range can result from more than one x in the domain. (b) f is the symbol that we use to denote the function. It is symbolic of the equation that we use to get from an x in the domain to f ( x ) in the range. (c) If y = f ( x ), then x is called the independent variable or argument of f , and y is called the dependent variable or the value of f at x . Summary Important Facts About Functions OBJECTIVE 3 ( 29 2 4 (a) 2 3 x f x x x + =--( 29 2 (b) 9 g x x =-( 29 (c) 3 2 h x x =-A rectangular garden has a perimeter of 100 feet. Express the area A of the garden as a function of the width w . Find the domain. w A OBJECTIVE 4 ( 29 ( 29 2 3 For the functions 2 3 4 1 find the following: f x x g x x = + = +...
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scag5e_ppt_3_1 - f there is exactly one image f x in the...

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