Algebra & Trigonometry

210 CHAPTER 2 Graphs and Functions 2.1 Exercises CONCEPT PREVIEWFill in the blank to correctly complete each sentence. 1. The point 1-1, 32 lies in quadrant ________ in the rectangular coordinate system. 2. The point 14, 2 lies on the graph of the equation y = 3x - 6. 3. Any point that lies on the x-axis has y-coordinate equal to ________. 4. The y-intercept of the graph of y = -2x + 6 is ________. 5. The x-intercept of the graph of 2x + 5y = 10 is ________. 6. The distance from the origin to the point 1-3, 42 is ________. CONCEPT PREVIEW Determine whether each statement is true or false. If false, explain why. 7. The graph of y = x2 + 2 has no x-intercepts. 8. The graph of y = x2 - 2 has two x-intercepts. 9. The midpoint of the segment joining 10, 02 and 14, 42 is 2. 10. The distance between the points 10, 02 and 14, 42 is 4. For the points P and Q, find (a) the distance d1P, Q2 and (b) the coordinates of the midpoint M of line segment PQ. See Examples 2 and 5(a). 15. P1-5, -62, Q17, -12 16. P1-4, 32, Q12, -52 17. P18, 22, Q13, 52 18. P1-8, 42, Q13, -52 19. P1-6, -52, Q16, 102 20. P16, -22, Q14, 62 21. PA322, 425B, QA 22, -25B 22. PA -27, 823B, QA527, -23B 11. x y 2 -5 -1 7 3 -9 5 -17 6 -21 12. x y 3 3 -5 -21 8 18 4 6 0 -6 Give three ordered pairs from each table. See Example 1. 13. Percent of High School Students Who Smoke Year Percent 2007 20.0 2009 19.5 2011 18.1 2013 15.7 2015 10.8 2017 8.8 Data from Centers for Disease Control and Prevention. 14. Number of U.S. Viewers of the Super Bowl Year Viewers (millions) 2008 97.4 2010 106.5 2012 111.4 2014 112.2 2016 111.9 2018 103.4 Data from www.sportsmediawatch .com

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