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Published byBryan Richards Modified over 2 years ago

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Bellringer

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Chapter 5 Section 2 Relations and Functions Woohoo!!!

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Some key terms Relation- a set of ordered pairs Domain- the set of first coordinates, the xs Range- the set of second coordinates, the ys

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Functions Function- a function is a relation in which each member of the domain is paired with exactly one member of the range In other words… you can not have a domain (x value) repeat itself Vertical Line Test- If any vertical line passes through no more than one point of the graph of a relation then the relation is a function

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How to tell if it is a function Since each element of the domain is paired with exactly one element of the range this is a function. Also, notice no x values are repeated

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How to tell if it is a function This is called a mapping. It shows the relation between each x and y value It does not matter that the y values are shared as long as the x value is not repeated or shared this is a function X235X235 Y30Y30

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Functional notation An equation looks like this – y = 3x + 5 This same equation written in functional notation looks like this – f(x) = 3x + 5 – We simply replace y with f(x)

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Finding functional value f(4) – f(x) = 2x +3 – f(4) = 2x +3 – f(4) = 2(4) +3 – f(4) = 8 +3 – = 11 f(6a) – f(x) = 2x +3 – f(6a) = 2x +3 – f(6a) = 2(6a) +3 – f(6a) = 12a +3 – = 12a +3 If f(x) = 2x +3 find each value.

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Your Turn g(-2) – -13 g(2h) – 6h - 7 If g(x) = 3x - 7 find each value.

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Assignment Page 244 – #s 1-33 odd

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