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Unformatted text preview: Functions & Their Graphs Section P.3 Functions & Function Notation relation between 2 sets X and Y – a set of ordered pairs, each of the form ( x, y ) where x is a member of X and y is a member of Y. function – a relation such that for every x there is exactly one y value. (Use the vertical line test) independent variable – x dependent variable  y Implicit form: Explicit form ( solved for y): Function notation: 1 2 2 = + y x 1 2 2 = + y x ) 1 ( 2 1 2 x y = ) 1 ( 2 1 ) ( 2 x x f = Domain & Range of Functions The implied domain is the set of all real numbers for which the eqn. Is defined, whereas an explicitly defined domain is one that is given along with the function Domain – possible xvalues Range – possible yvalues onetoone – For every y value, there is exactly one xvalue ( Use horizontal line test) Basic Types of Transformations (c>0 Original graph: y = f(x) Horizontal shift c units to right: y = f(x – c) Horizontal shift c units to left: y = f(x + c) Vertical shift c units down: y = f(x)  c...
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This note was uploaded on 12/01/2011 for the course MATH 112 taught by Professor Jarvis during the Fall '08 term at BYU.
 Fall '08
 JARVIS
 Calculus, Sets

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