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06 relations &amp; functions

# 06 relations &amp; functions - Relations Functions A...

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2 2 e.g. 25 x y + = A relation is a set of any ordered pairs that are related in any way. 2 e.g. y x = A function is a relation such that for any x value, there is a maximum of one y value. Straight Line Test If a straight line is drawn parallel to the y axis, it will only cross a function once, if at all. y x 1 y x = function y x 2 x y = function note: actually two functions and y x y x ÷ = = -

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Domain and Range ( 29 y f x = Domain: All possible values of x that can be substituted into the function/relation. To find a domain, look for values x could not be. e.g. y x 2 x y = domain: 0 x y x 2 1 3 ( 29 y f x = domain: 0 and 2 x x “Domain is the INPUT of the function/relation”
Things to look for: 1. Fractions: bottom of fraction 0 ( 29 1 e.g. i y x = 0 x domain: all real except 0 x x = ( 29 2 1 1 ii y x = - 2 1 0 x - ≠ domain: all real except 1 x x = ± 2 1 1 x x ≠ ± ( 29 4 3 1 7 x iii y x x = + - - 1 0 x - ≠ domain: all real except 1 or 7 x x = 1 x 7 0 x - 7 x

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2. Root Signs:
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06 relations &amp; functions - Relations Functions A...

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