1. FUNCTION NOTATION AND EVALUATING FUNCTIONS SECTIONS 5.1 & 14.1B

2. 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

3. 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

4. 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)

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

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

7. 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

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

9. 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?

10. 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

11. 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

12. 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:

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

14. 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.

15. Try these… If find: A.. B..