Chapter 1 Functions, Graphs, and Limits. Copyright © Houghton Mifflin Company. All rights reserved.1 | 2 Figure 1.5: Pythagorean Theorem.

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Presentation transcript:

Chapter 1 Functions, Graphs, and Limits

Copyright © Houghton Mifflin Company. All rights reserved.1 | 2 Figure 1.5: Pythagorean Theorem

Copyright © Houghton Mifflin Company. All rights reserved.1 | 3 Figure 1.6: The Distance Formula

Copyright © Houghton Mifflin Company. All rights reserved.1 | 4 Figure 1.10: The Midpoint Formula

Copyright © Houghton Mifflin Company. All rights reserved.1 | 5 Figure 1.15 and Figure 1.16: (Shortcomings of the Point-Plotting Technique)

Copyright © Houghton Mifflin Company. All rights reserved.1 | 6 Figure 1.17: Intercepts of a Graph

Copyright © Houghton Mifflin Company. All rights reserved.1 | 7 Finding Intercepts

Copyright © Houghton Mifflin Company. All rights reserved.1 | 8 Figure 1.20: Standard Form of the Equation of a Circle

Copyright © Houghton Mifflin Company. All rights reserved.1 | 9 Figure 1.25 (Supply Curve), Figure 1.26 (Demand Curve), and Figure 1.27 (Equilibrium Point)

Copyright © Houghton Mifflin Company. All rights reserved.1 | 10 Figure 1.30: Graphs of Mathematical Models

Copyright © Houghton Mifflin Company. All rights reserved.1 | 11 Figure 1.31: The Slope-Intercept Form of the Equation of a Line

Copyright © Houghton Mifflin Company. All rights reserved.1 | 12 Figure 1.32

Copyright © Houghton Mifflin Company. All rights reserved.1 | 13 Figure 1.36: The Slope of a Line Passing Through Two Points

Copyright © Houghton Mifflin Company. All rights reserved.1 | 14 Point-Slope Form of the Equation of a Line

Copyright © Houghton Mifflin Company. All rights reserved.1 | 15 Equations of Lines

Copyright © Houghton Mifflin Company. All rights reserved.1 | 16 Parallel and Perpendicular Lines

Copyright © Houghton Mifflin Company. All rights reserved.1 | 17 Definition of Function, Figure 1.43

Copyright © Houghton Mifflin Company. All rights reserved.1 | 18 Figure 1.47: Definition of Composite Function

Copyright © Houghton Mifflin Company. All rights reserved.1 | 19 Figure 1.48: Definition of Inverse Function

Copyright © Houghton Mifflin Company. All rights reserved.1 | 20 Definition of the Limit of a Function

Copyright © Houghton Mifflin Company. All rights reserved.1 | 21

Copyright © Houghton Mifflin Company. All rights reserved.1 | 22 Properties of Limits

Copyright © Houghton Mifflin Company. All rights reserved.1 | 23 Operations with Limits

Copyright © Houghton Mifflin Company. All rights reserved.1 | 24

Copyright © Houghton Mifflin Company. All rights reserved.1 | 25

Copyright © Houghton Mifflin Company. All rights reserved.1 | 26 The Limit of a Polynomial Function

Copyright © Houghton Mifflin Company. All rights reserved.1 | 27 The Replacement Theorem

Copyright © Houghton Mifflin Company. All rights reserved.1 | 28 Existence of a Limit

Copyright © Houghton Mifflin Company. All rights reserved.1 | 29 Figure 1.60, Figure 1.61: Definition of Continuity

Copyright © Houghton Mifflin Company. All rights reserved.1 | 30 Continuity of Polynomial and Rational Functions

Copyright © Houghton Mifflin Company. All rights reserved.1 | 31

Copyright © Houghton Mifflin Company. All rights reserved.1 | 32

Copyright © Houghton Mifflin Company. All rights reserved.1 | 33

Copyright © Houghton Mifflin Company. All rights reserved.1 | 34

Copyright © Houghton Mifflin Company. All rights reserved.1 | 35

Copyright © Houghton Mifflin Company. All rights reserved.1 | 36

Copyright © Houghton Mifflin Company. All rights reserved.1 | 37

Copyright © Houghton Mifflin Company. All rights reserved.1 | 38

Copyright © Houghton Mifflin Company. All rights reserved.1 | 39

Copyright © Houghton Mifflin Company. All rights reserved.1 | 40

Copyright © Houghton Mifflin Company. All rights reserved.1 | 41

Copyright © Houghton Mifflin Company. All rights reserved.1 | 42 Definition of Continuity on a Closed Interval

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