Section 3.2 Relations 173 The table shows us that when the input value is 0 (x = 0), the output value is 4 (y = 4). Method 2: Use the TRACE feature to find the point that has an x-value of 0. We first graph the equation and then access the TRACE function. The starting point when we press the TRACE key is x = 0. (Note: If we need to find the output for another input value, enter the value and press enter.) GRAPH TRA E The display at the bottom of the calculator window shows the y-value that corresponds to the x-value. So, we see that the input value of 0 corresponds to an output value of 4. SECTION 3.2 EXERCISE SET Write About It! Use complete sentences in your answer to each exercise. 1. Explain the different ways that a relation can be expressed. 2. Define a relation. 3. What is the domain of a relation? 4. What is the range of a relation? 5. Explain how to determine the domain of a relation expressed as a graph. 6. Explain how to determine the range of a relation expressed as a graph. Practice Makes Perfect! Express each relation in the specifi ed form. Identify its domain and range. (See Objective 1.) 7. Annie’s algebra study group shares the number of hours they work each week. The results are shown in the mapping. Write this relation as a set of ordered pairs. 0 10 15 20 f 25 8. A group of friends share the number of times they worked at the gym each week. The results are expressed in a mapping. Write this relation as a set of ordered pairs. 0 2 3 7 m c c 9. Express this relation as a set of ordered pairs. 2 –1 3 4 10 7 8 2 10. Express this relation as a set of ordered pairs. 14 1 2 5 0 –6 – 3 2 11. Manny earns $8.10 per hour at his coffee house job. Express the relation between the number of hours Manny works and the amount of money he earns as an equation. 12. Calista fills up her SUV with premium unleaded gas at a price of $4.50 per gallon. Express the relation between the number of gallons Calista puts in her car and the cost of the sale as an equation. 13. Express this relation as a set of ordered pairs. x -4 -2 0 2 y 10 6 -4 3 14. Express this relation as a set of ordered pairs. x -12 -9 -5 -2 y -7 -8 -4 -9 15. The opening price of Apple Inc. stock in the beginning of January of the specified year is given in the table. Express this relation as a set of ordered pairs. (Source: http://www.dailyfinance.com) Year 2007 2008 2009 2010 2011 Price (in dollars) 84.05 199.27 85.84 213.43 325.65
hendricks_intermediate_algebra_1e_ch1_3
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