1 / 51

C H A P T E R 1

C H A P T E R 1. Functions, Graphs, and Limits. Figure 1.1 Interpretations of the function f ( x ). 1-1-1. Figure 1.2 The composition f ( g ( x )) as an assembly line. 1-1-2. Figure 1.3 (a) A production function. (b) Bounded population growth. 1-2-3.

dieter-reese
Télécharger la présentation

C H A P T E R 1

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. C H A P T E R 1 Functions, Graphs, and Limits

  2. Figure 1.1 Interpretations of the function f(x). 1-1-1

  3. Figure 1.2 The composition f(g(x)) as an assembly line. 1-1-2

  4. Figure 1.3 (a) A production function. (b) Bounded population growth. 1-2-3

  5. Figure 1.4 (a) The graph of y = x2. (b) Other graphs through the points in Example 2.1. 1-2-4

  6. Figure 1.5 The graph of f(x) = 1-2-5

  7. Figure 1.6 The graph of f(x) = –x2 + x + 2. 1-2-6

  8. Figure 1.7 The graph of the functiony = x3 – x2 – 6x. 1-2-7

  9. Figure 1.8The graph of the parabola y = Ax2 + Bx + C. (a) If A > 0, the parabola opens up. (b) If A < 0, the parabola opens down. 1-2-8

  10. Figure 1.9 A revenue function. 1-2-9

  11. Figure 1.10 The graphs of y = f(x) and y = g(x) intersect at P and Q. 1-2-10

  12. Figure 1.11 The intersection of the graphs off(x) = 3x + 2 and g(x) = x2. 1-2-11

  13. Figure 1.12 Three polynomials of degree 3. 1-2-12

  14. Figure 1.13 Graphs of three rational functions. 1-2-13

  15. Figure 1.14 The vertical line test. 1-2-14

  16. Figure 1.15 The cost function C(x) = 50x + 200. 1-3-15

  17. Figure 1.16 1-3-16

  18. Figure 1.17 The line joining (–2, 5) and (3, –1). 1-3-17

  19. Figure 1.18 The direction and steepness of a line. 1-3-18

  20. Figure 1.19 Horizontal and vertical lines. 1-3-19

  21. Figure 1.20 The slope and y intercept of the liney = mx + b. 1-3-20

  22. Figure 1.21 The line 3y + 2x = 6. 1-3-21

  23. Figure 1.22 The line 1-3-22

  24. Figure 1.23 The line y = –4x + 10. 1-3-23

  25. Figure 1.24 The rising price of bread: y = 2x + 136. 1-3-24

  26. Figure 1.25 Growth of federal civilian employment in the United States (1950–1989). 1-3-25

  27. Figure 1.26 1-3-26

  28. Figure 1.27 Lines parallel and perpendicularto a given line L. 1-3-27

  29. Figure 1.28 Rectangular picnic area. 1-4-28

  30. Figure 1.29 The length of fencing: 1-4-29

  31. Figure 1.30 Cylindrical can for Example 4.2. 1-4-30

  32. Figure 1.31 The cost function: 1-4-31

  33. Figure 1.32 The cost of water in Marin County. 1-4-32

  34. Figure 1.33 The rate of bounded population growth: R(p) = kp(b – p). 1-4-33

  35. Figure 1.34 The profit functionP(x) = (6,000 – 400x)(x – 2). 1-4-34

  36. Figure 1.35 Market equilibrium: the intersection of supply and demand. 1-4-35

  37. Figure 1.36 The supply and demand curvesfor Example 4.6. 1-4-36

  38. Figure 1.37 Geometric interpretation of the limit. (a) If the height of the graph of f approaches L as x approaches c. (b) Geometric interpretation of the limit statement 1-5-37

  39. Figure 1.38 Three functions for which 1-5-38

  40. Figure 1.39 Two functions for which does not exist. 1-5-39

  41. Figure 1.40 Limits of two linear functions. 1-5-40

  42. Figure 1.41 The graph of 1-5-41

  43. Figure 1.42 The graph of 1-5-42

  44. Figure 1.43 Just in time inventory. 1-5-43

  45. Figure 1.44 The graph of 1-5-44

  46. Figure 1.45 A continuous graph. 1-6-45

  47. Figure 1.46 Three functions with discontinuities of x = c. 1-6-46

  48. Figure 1.47 Functions for Example 6.3. 1-6-47

  49. Figure 1.48 The graph of 1-6-48

  50. Figure 1.49 The intermediate value property. 1-6-49

More Related