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264 Chapter 3 Linear Equations in Two Variables 108. Suppose x = number of years after 1971. What does x = 0 represent? How do I figure out what x is for the year 2008? Marla’s work: x = 0 represents 1971. For 2008, x = 2008 - 1971 = 37. Calculate It! 109. Each table shows the points on the graph of a line. Determine which graph contains the points (0, 2) and (-1, -3). a. b. c. 110. Each table shows the points on the graph of a line. Determine which graph contains the points (0, -5) and (-2, 4). a. b. c. �� ������������������������ Functions ▶ OBJECTIVES As a result of completing this section, you will be able to 1. Identify a relation and its domain and range. 2. Determine if a relation is a function. 3. Use the vertical line test. 4. Use function notation. 5. Write a linear equation in two variables in function notation. 6. Apply functions to real-life applications. 7. Troubleshoot common errors. Suppose Greg registers for classes online. What would happen if Greg input his student ID number and another student’s name came up? Besides being annoyed, Greg would have to contact the Registrar’s office and inform them that his ID is not functioning correctly; it corresponds to another student. In this section, we will learn the definition of a function and how functions apply to our everyday lives. Relations If we look up the definition of a relation, we will find that most every description involves the words connection and/or association. This idea extends to the definition of a mathematical relation, as well. A relation, in mathematics, describes the connection or association between two sets of information. This description is denoted by a set of ordered pairs. We use relations every day. When we check out at the grocery store, each item scanned corresponds to a price. When a topic in Google is entered, many search results are displayed. If we register for classes online and enter the course title, a list of class options will be shown. In each of these cases, we are pairing together a piece of information from one set to a piece of information from another set. Objective 1 ▶ Identify a relation and its domain and range.


hendricks_beginning_algebra_1e_ch1_3
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