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Chapter 1

Chapter 1. Functions, Graphs, and Limits. Figure 1.1: The Cartesian Plane. Figure 1.2: Coordinates on the Cartesian Plane. Figure 1.5: Pythagorean Theorem. Figure 1.6: The Distance Formula. Figure 1.10: The Midpoint Formula.

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Chapter 1

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  1. Chapter 1 Functions, Graphs, and Limits

  2. Figure 1.1: The Cartesian Plane

  3. Figure 1.2: Coordinateson the Cartesian Plane

  4. Figure 1.5: Pythagorean Theorem

  5. Figure 1.6: The Distance Formula

  6. Figure 1.10: The Midpoint Formula

  7. Figure 1.15 and Figure 1.16: (Shortcomings of the Point-Plotting Technique)

  8. Figure 1.17: Intercepts of a Graph

  9. Finding Intercepts

  10. Figure 1.20: Standard Formof the Equation of a Circle

  11. General Form of theEquation of a Circle

  12. Figure 1.23: Points of Intersection

  13. Figure 1.25 (Supply Curve), Figure 1.26 (Demand Curve), and Figure 1.27 (Equilibrium Point)

  14. Figure 1.30: Graphs ofMathematical Models

  15. Figure 1.31: The Slope-InterceptForm of the Equation of a Line

  16. Figure 1.32

  17. Figure 1.36: The Slope of aLine Passing Through Two Points

  18. Point-Slope Form of theEquation of a Line

  19. Figure 1.40: Linear Extrapolationand Interpolation

  20. Equations of Lines

  21. Parallel and Perpendicular Lines

  22. Definition of Function, Figure 1.43

  23. Figure 1.47: Definition ofComposite Function

  24. Figure 1.48: Definition ofInverse Function

  25. Figure 1.51

  26. Definition of the Limit of a Function

  27. Properties of Limits

  28. Operations with Limits

  29. The Limit of a Polynomial Function

  30. The Replacement Theorem

  31. Existence of a Limit

  32. Figure 1.60, Figure 1.61:Definition of Continuity

  33. Continuity of Polynomialand Rational Functions

  34. Definition of Continuityon a Closed Interval

  35. Figure 1.66: GreatestInteger Function

  36. Order of Operations

  37. Solving Equations

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