1. Chapter 1 Limits and Their Properties

2. Copyright © Houghton Mifflin Company. All rights reserved.1 | 2 Figure 1.1: Definition of the Slope of a Line

3. Copyright © Houghton Mifflin Company. All rights reserved.1 | 3 Figure 1.2: Slope of a Line

4. Copyright © Houghton Mifflin Company. All rights reserved.1 | 4 Figure 1.3: Equations of Lines

5. Copyright © Houghton Mifflin Company. All rights reserved.1 | 5 Figure 1.1: The Slope-Intercept Equation of a Line

6. Copyright © Houghton Mifflin Company. All rights reserved.1 | 6 Summary of Equations of Lines

7. Copyright © Houghton Mifflin Company. All rights reserved.1 | 7 Figure 1.8: Parallel and Perpendicular Lines

8. Copyright © Houghton Mifflin Company. All rights reserved.1 | 8 Figure 1.11: Definition of a Real-Valued Function of a Real Variable

9. Copyright © Houghton Mifflin Company. All rights reserved.1 | 9 Figure 1.14: Graph of a Function

10. Copyright © Houghton Mifflin Company. All rights reserved.1 | 10 Figure 1.15: Vertical Line Test

11. Copyright © Houghton Mifflin Company. All rights reserved.1 | 11 Figure 1.16: Graphs of Eight Basic Functions

12. Copyright © Houghton Mifflin Company. All rights reserved.1 | 12 Figure 1.17: Transformation of Functions

13. Copyright © Houghton Mifflin Company. All rights reserved.1 | 13 Basic Types of Transformations

14. Copyright © Houghton Mifflin Company. All rights reserved.1 | 14 Figure 1.18: Leading Coefficient Test

15. Copyright © Houghton Mifflin Company. All rights reserved.1 | 15 Figure 1.19: Definition of Composite Functions

16. Copyright © Houghton Mifflin Company. All rights reserved.1 | 16 Figure 1.21: Definition of Inverse Functions

17. Copyright © Houghton Mifflin Company. All rights reserved.1 | 17 Figure 1.23: Reflective Property of Inverse Functions

18. Copyright © Houghton Mifflin Company. All rights reserved.1 | 18 Figure 1.24: Horizontal Line Test

19. Copyright © Houghton Mifflin Company. All rights reserved.1 | 19 Finding an Inverse Function

20. Copyright © Houghton Mifflin Company. All rights reserved.1 | 20 Definition of Inverse Trigonometric Functions

21. Copyright © Houghton Mifflin Company. All rights reserved.1 | 21 Figure 1.29: Graphs of Inverse Trigonometric Functions

22. Copyright © Houghton Mifflin Company. All rights reserved.1 | 22 Properties of Inverse Trigonometric Functions

23. Copyright © Houghton Mifflin Company. All rights reserved.1 | 23 Definition of the Natural Logarithmic Function

24. Copyright © Houghton Mifflin Company. All rights reserved.1 | 24 Figure 1.46: Definition of a Limit

25. Copyright © Houghton Mifflin Company. All rights reserved.1 | 25 A Strategy for Finding Limits

26. Copyright © Houghton Mifflin Company. All rights reserved.1 | 26 The Squeeze Theorem

27. Copyright © Houghton Mifflin Company. All rights reserved.1 | 27 Figure 1.59: Continuity at a Point and on an Open Interval

28. Copyright © Houghton Mifflin Company. All rights reserved.1 | 28 Definition of Continuity

29. Copyright © Houghton Mifflin Company. All rights reserved.1 | 29 Figure 1.60: Discontinuities

30. Copyright © Houghton Mifflin Company. All rights reserved.1 | 30 Definition of Continuity on a Closed Interval

31. Copyright © Houghton Mifflin Company. All rights reserved.1 | 31 Figures 1.69 and 1.70: The Intermediate Value Theorem

32. Copyright © Houghton Mifflin Company. All rights reserved.1 | 32 Figure 1.74: Definition of Infinite Limits

33. Copyright © Houghton Mifflin Company. All rights reserved.1 | 33 Definition of Infinite Limits (cont'd)

34. Copyright © Houghton Mifflin Company. All rights reserved.1 | 34 Properties of Infinite Limits