10.5 Introduction to Functions What are your objectives for Section 10.5? How can you accomplish each objective? 1 Define and Identify Relation, Function, Domain, • Learn the defi nitions of relation, domain, range, and function, and write them in your own words. • Complete the given example on your own. • Complete You Try 1. 2 Use the Vertical Line Test • Understand the Vertical Line Test, and learn the procedure to use it effectively. • Complete the given example on your own. 3 Find the Domain and Range of a Relation from • Use the defi nitions from Objective 1 to help you understand Example 3. • Complete You Try 2. 4 Find the Domain of a Function Using Its • Follow the example to come up with your own procedure for Finding the Domain of a Function, and compare it to the procedure given. • Complete You Try 3. 5 Use Function Notation • Write the defi nition of function notation in your own words. • Complete the given examples on your own. • Complete You Trys 4 and 5. 6 Solve Problems Using Functions • Use meaningful letters to represent applied functions. • Complete the given example on your own. Read the explanations, follow the examples, take notes, and complete the You Trys. If you have a job and you earn $9.50 per hour, the amount of money you earn each week before deductions (gross earnings) depends on the number of hours you have worked. and Range Its Graph Equation Hours Worked Gross Earnings 10 hours $ 95.00 15 hours $142.50 22 hours $209.00 30 hours $285.00 We can express these relationships with the ordered pairs (10, 95.00) (15, 142.50) (22, 209.00) (30, 285.00) where the fi rst coordinate represents the amount of time worked (in hours), and the second coordinate represents the gross earnings (in dollars). We can also describe this relationship with the equation y 9.50x where y is the gross earnings, in dollars, and x is the number of hours worked. www.mhhe.com/messersmith SECTION 10.5 Introduction to Functions 639
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