SECTION 1.1 Graphing Utilities; Introduction to Graphing Equations 11 In Problems 11–14, determine the coordinates of the points shown. Tell in which quadrant each point lies. Assume the coordinates are integers. 11. 10 210 25 5 12. 10 210 25 5 13. 5 25 25 5 14. 10 210 210 10 In Problems 15–20, select a setting so that each given point will lie within the viewing window. 15. 10,5, 3, 2, 4, 1 ( ) ( ) ( ) − − − 16. 5,0, 6,8, 2, 3 ( ) ( ) ( ) − − 17. 40, 20 , 20, 80 , 10, 40 ( ) ( ) ( ) − − 18. 80, 60 , 20, 30 , 20, 40 ( ) ( ) ( ) − − − − 19. 0, 0 , 100, 5 , 5, 150 ( ) ( ) ( ) 20. 0, 1 , 100, 50 , 10, 30 ( ) ( ) ( ) − − In Problems 21–26, determine the viewing window used. 21. 4 24 26 6 22. 2 22 23 3 23. 3 21 26 6 24. 4 212 29 9 25. 2 10 3 9 26. 4 222 210 8 In Problems 27–32, tell whether the given points are on the graph of the equation. 27. Equation: y x x 4 = − Points: 0, 0 ; 1, 1 ; 1, 0 ( ) ( ) ( ) − 28. Equation: y x x 2 3 = − Points: 0, 0 ; 1, 1 ; 1, 1 ( ) ( ) ( ) − 29. Equation: y x 9 2 2 = + Points: 0, 3 ; 3, 0 ; 3, 0 ( ) ( ) ( ) − 30. Equation: y x 1 3 = + Points: 1, 2 ; 0, 1 ; 1, 0 ( ) ( ) ( ) − 31. Equation: x y 4 2 2 + = Points: 0, 2 ; 2, 2 ; 2, 2 ( ) ( ) ( ) − 32. Equation: x y4 4 2 2 + = Points: 0, 1 ; 2, 0 ; 2, 1 2 ( ) ( ) ( ) In Problems 33–40, the graph of an equation is given. List the intercepts of the graph. 33. 3 –3 x y 3 –3 34. 3 –3 x y 3 –3 35. x y p 1 –1 –p p–– 2 – p–– 2 36. x y 3 4 24 23
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