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Published byCalvin George Pope Modified over 9 years ago

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FUNCTION NOTATION AND EVALUATING FUNCTIONS SECTIONS 5.1 & 14.1B

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A ________ is a set of __________________. relationordered pairs The ________ is the ______ of ________ numbers in a relation. range setfirst The ________ is the ______ of ________ numbers in a relation. domain setsecond

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A ___________ is a relation in which no number in the _________ is __________. function domainrepeated Functions can be represented five different ways: 1. ______________ 2. ______________ 3. ______________ 4. ______________ 5. ______________ mapping graph table Set of ordered pairs equation

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Sometimes we will only know one part of the ordered pair. We can use the equation to find the missing number. Example 1: Complete each ordered pair so that it is a solution to a. ( 1, ? ) What is ____ if _________? -2 (1, 7)

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b. ( ?, 9 ) What is ____ if _________? -9 (0, 9)

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c. ( 4, ? ) What is ____ if _________? -8 (4, 1) TRY THIS….

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Does not mean multiplication! Function notation replaces the independent variable, y with either f(x), g(x), or h(x). f(x) is read as “ ____ _____ _____” g(x) is read as “ ____ _____ _____” h(x) is read as “ ____ _____ _____” fofx g x h x

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Instead of writing,, we replace the y with is read as “ ___________________________________” Function Notation Read as

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Look at the mappings below. What is happening to each number in the domain to get the corresponding number in the range? 2 5 10 8 11 16 Domain Range Function Rule: - 3 0 5 -6 0 10 Domain Range Function Rule: What is happening to x to get the corresponding f(x) value?

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The ______________ can be thought of as an operation that changes the numbers in the ___________ to make the ________. function rule domainrange Function notation: The right side of any function notation is called the _____________. function rule EquationFunction NotationFunction Rule Replace the y with f(x) Right side of notation

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Function Rule output input The numbers of the domain are sometimes called the ________ and the range is called the ___________. input output Changes the domain into the range

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Find the range for the function if the domain of f(x) is { 0, 2, 4 }. range domain Range = { } DomainRange 0 2 4 1 7 13 Written as ordered pairs:

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Try this… For the function,, find the range if the domain is { -3, 0, 4 }. InputOutput = = = Range:

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Sometimes we only want to only evaluate one element of the domain. For example, if find when “find when”, can be written in a shorter form as “”. Example 2: If find. Plug 2 into the function rule.

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Try these… If find: A.. B..

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