1. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 1

2. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Chapter 1 Prerequisites for Calculus

3. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall 1.1 Lines

4. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 4 Quick Review

5. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 5 Quick Review

6. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 6 Quick Review

7. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 7 Quick Review Solutions

8. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 8 Quick Review Solutions

9. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 9 Quick Review Solutions

10. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 10 Increments Slope of a Line Parallel and Perpendicular Lines Equations of Lines Applications What you’ll learn about… …and why. Linear equations are used extensively in business and economic applications.

11. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 11 Increments

12. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 12 Example Increments

13. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 13 Slope of a Line A line that goes uphill as x increases has a positive slope. A line that goes downhill as x increases has a negative slope.

14. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 14 Slope of a Line

15. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 15 Parallel and Perpendicular Lines

16. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 16 Equations of Lines

17. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 17 Example Equations of Lines

18. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 18 Point Slope Equation

19. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 19 Example: Point Slope Equation

20. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 20 Equations of Lines

21. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 21 Slope-Intercept Equation

22. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 22 General Linear Equation Although the general linear form helps in the quick identification of lines, the slope-intercept form is the one to enter into a calculator for graphing.

23. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 23 Example Analyzing and Graphing a General Linear Equation [-10, 10] by [-10, 10]

24. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 24 Example Determining a Function x f(x) 1 5 3 11

25. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 25 Example Reimbursed Expenses

26. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall 1.2 Functions and Graphs

27. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 27 Quick Review

28. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 28 Quick Review

29. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 29 Quick Review

30. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 30 Quick Review Solutions

31. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 31 Quick Review Solutions

32. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 32 Quick Review Solutions

33. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 33 Functions Domains and Ranges Viewing and Interpreting Graphs Even Functions and Odd functions - Symmetry Functions Defined in Pieces Absolute Value Function Composite Functions …and why Functions and graphs form the basis for understanding mathematics applications. What you’ll learn about…

34. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 34 Functions A rule that assigns to each element in one set a unique element in another set is called a function. A function is like a machine that assigns a unique output to every allowable input. The inputs make up the domain of the function; the outputs make up the range.

35. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 35 Function A function from a set D to a set R is a rule that assigns a unique element in R to each element in D. In this definition, D is the domain of the function and R is a set containing the range.

36. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 36 Function

37. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 37 Example Functions

38. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 38 Domains and Ranges

39. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 39 Domains and Ranges

40. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 40 Domains and Ranges The domains and ranges of many real-valued functions of a real variable are intervals or combinations of intervals. The intervals may be open, closed or half-open, finite or infinite. The endpoints of an interval make up the interval’s boundary and are called boundary points. The remaining points make up the interval’s interior and are called interior points.

41. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 41 Domains and Ranges Closed intervals contain their boundary points. Open intervals contain no boundary points

42. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 42 Domains and Ranges

43. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 43 Graph

44. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 44 Example Finding Domains and Ranges [-10, 10] by [-5, 15]

45. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 45 Viewing and Interpreting Graphs Recognize that the graph is reasonable. See all the important characteristics of the graph. Interpret those characteristics. Recognize grapher failure. Graphing with a graphing calculator requires that you develop graph viewing skills.

46. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 46 Viewing and Interpreting Graphs Being able to recognize that a graph is reasonable comes with experience. You need to know the basic functions, their graphs, and how changes in their equations affect the graphs. Grapher failure occurs when the graph produced by a grapher is less than precise – or even incorrect – usually due to the limitations of the screen resolution of the grapher.

47. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 47 Example Viewing and Interpreting Graphs [-10, 10] by [-10, 10]

48. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 48 Even Functions and Odd Functions-Symmetry The graphs of even and odd functions have important symmetry properties.

49. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 49 Even Functions and Odd Functions-Symmetry The graph of an even function is symmetric about the y-axis. A point (x,y) lies on the graph if and only if the point (-x,y) lies on the graph. The graph of an odd function is symmetric about the origin. A point (x,y) lies on the graph if and only if the point (-x,-y) lies on the graph.

50. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 50 Example Even Functions and Odd Functions-Symmetry

51. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 51 Example Even Functions and Odd Functions-Symmetry

52. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 52 Functions Defined in Pieces While some functions are defined by single formulas, others are defined by applying different formulas to different parts of their domain. These are called piecewise functions.

53. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 53 Example Graphing a Piecewise Defined Function [-10, 10] by [-10, 10]

54. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 54 Absolute Value Functions The function is even, and its graph is symmetric about the y-axis

55. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 55 Composite Functions

56. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 56 Example Composite Functions

57. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall 1.3 Exponential Functions

58. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 58 Quick Review

59. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 59 Quick Review

60. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 60 Quick Review Solutions

61. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 61 Quick Review Solutions

62. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 62 Exponential Growth Exponential Decay Applications The Number e …and why Exponential functions model many growth patterns. What you’ll learn about…

63. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 63 Exponential Function

64. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 64 Exponential Growth

65. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 65 Exponential Growth

66. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 66 Rules for Exponents

67. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 67 Half-life Exponential functions can also model phenomena that produce decrease over time, such as happens with radioactive decay. The half-life of a radioactive substance is the amount of time it takes for half of the substance to change from its original radioactive state to a non-radioactive state by emitting energy in the form of radiation.

68. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 68 Exponential Growth and Exponential Decay

69. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 69 Example Exponential Functions [-5, 5], [-10,10]

70. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 70 The Number e

71. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 71 The Number e

72. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 72 Example The Number e [0,100] by [0,120] in 10’s

73. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 73 Quick Quiz Sections 1.1 – 1.3

74. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 74 Quick Quiz Sections 1.1 – 1.3

75. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 75 Quick Quiz Sections 1.1 – 1.3

76. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 76 Quick Quiz Sections 1.1 – 1.3

77. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 77 Quick Quiz Sections 1.1 – 1.3

78. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 78 Quick Quiz Sections 1.1 – 1.3

79. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall 1.4 Parametric Equations

80. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 80 Relations Circles Ellipses Lines and Other Curves What you’ll learn about… …and why Parametric equations can be used to obtain graphs of relations and functions.

81. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 81 Quick Review

82. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 82 Quick Review

83. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 83 Quick Review

84. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 84 Quick Review Solutions

85. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 85 Quick Review Solutions

86. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 86 Quick Review Solutions

87. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 87 Relations A relation is a set of ordered pairs (x, y) of real numbers. The graph of a relation is the set of points in a plane that correspond to the ordered pairs of the relation. If x and y are functions of a third variable t, called a parameter, then we can use the parametric mode of a grapher to obtain a graph of the relation.

88. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 88 Parametric Curve, Parametric Equations

89. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 89 Relations

90. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 90 Example Relations

91. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 91 Circles In applications, t often denotes time, an angle or the distance a particle has traveled along its path from a starting point. Parametric graphing can be used to simulate the motion of a particle.

92. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 92 Example Circles

93. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 93 Ellipses

94. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 94 Lines and Other Curves Lines, line segments and many other curves can be defined parametrically.

95. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 95 Example Lines and Other Curves

96. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall 1.5 Functions and Logarithms

97. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 97 Quick Review

98. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 98 Quick Review

99. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 99 Quick Review Solutions

100. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 100 Quick Review Solutions

101. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 101 One-to-One Functions Inverses Finding Inverses Logarithmic Functions Properties of Logarithms Applications …and why Logarithmic functions are used in many applications including finding time in investment problems. What you’ll learn about…

102. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 102 One-to-One Functions A function is a rule that assigns a single value in its range to each point in its domain. Some functions assign the same output to more than one input. Other functions never output a given value more than once. If each output value of a function is associated with exactly one input value, the function is one-to-one.

103. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 103 One-to-One Functions

104. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 104 One-to-One Functions

105. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 105 Inverses Since each output of a one-to-one function comes from just one input, a one-to-one function can be reversed to send outputs back to the inputs from which they came. The function defined by reversing a one-to-one function f is the inverse of f. Composing a function with its inverse in either order sends each output back to the input from which it came.

106. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 106 Inverses

107. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 107 Identity Function The result of composing a function and its inverse in either order is the identity function.

108. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 108 Example Inverses

109. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 109 Writing f -1 as a Function of x.

110. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 110 Finding Inverses

111. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 111 Example Finding Inverses [-10,10] by [-15, 8]

112. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 112 Base a Logarithmic Function

113. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 113 Logarithmic Functions Logarithms with base e and base 10 are so important in applications that calculators have special keys for them. They also have their own special notations and names.

114. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 114 Inverse Properties for a x and log a x

115. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 115 Properties of Logarithms

116. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 116 Example Properties of Logarithms

117. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 117 Example Properties of Logarithms

118. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 118 Change of Base Formula

119. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 119 Example Population Growth

120. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall 1.6 Trigonometric Functions

121. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 121 Quick Review

122. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 122 Quick Review

123. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 123 Quick Review Solutions

124. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 124 Quick Review Solutions

125. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 125 Quick Review Solutions

126. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 126 What you’ll learn about… Radian Measure Graphs of Trigonometric Functions Periodicity Even and Odd Trigonometric Functions Transformations of Trigonometric Graphs Inverse Trigonometric Functions …and why Trigonometric functions can be used to model periodic behavior and applications such as musical notes.

127. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 127 Radian Measure The radian measure of the angle ACB at the center of the unit circle equals the length of the arc that ACB cuts from the unit circle.

128. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 128 Radian Measure An angle of measure θ is placed in standard position at the center of circle of radius r,

129. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 129 Trigonometric Functions of θ

130. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 130 Graphs of Trigonometric Functions When we graph trigonometric functions in the coordinate plane, we usually denote the independent variable (radians) by x instead of θ.

131. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 131 Angle Convention

132. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 132 Periodic Function, Period

133. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 133 Even and Odd Trigonometric Functions The graphs of cos x and sec x are even functions because their graphs are symmetric about the y-axis. The graphs of sin x, csc x, tan x and cot x are odd functions.

134. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 134 Example Even and Odd Trigonometric Functions

135. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 135 Transformations of Trigonometric Graphs The rules for shifting, stretching, shrinking and reflecting the graph of a function apply to the trigonometric functions. Vertical stretch or shrink Reflection about x-axis Horizontal stretch or shrink Reflection about the y-axis Horizontal shift Vertical shift

136. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 136 Example Transformations of Trigonometric Graphs [-5, 5 ] by [-4,4]

137. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 137 Inverse Trigonometric Functions None of the six basic trigonometric functions graphed in Figure 1.42 is one-to-one. These functions do not have inverses. However, in each case, the domain can be restricted to produce a new function that does have an inverse. The domains and ranges of the inverse trigonometric functions become part of their definitions.

138. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 138 Inverse Trigonometric Functions

139. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 139 Inverse Trigonometric Functions The graphs of the six inverse trigonometric functions are shown here.

140. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 140 Example Inverse Trigonometric Functions

141. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 141 Quick Quiz Sections 1.4 – 1.6

142. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 142 Quick Quiz Sections 1.4 – 1.6

143. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 143 Quick Quiz Sections 1.4 – 1.6

144. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 144 Quick Quiz Sections 1.4 – 1.6

145. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 145 Quick Quiz Sections 1.4 – 1.6

146. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 146 Quick Quiz Sections 1.4 – 1.6

147. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 147 Chapter Test x - 224 f(x) 421

148. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 148 Chapter Test

149. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 149 Chapter Test 7. Write a piecewise formula for the function.

150. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 150 Chapter Test

151. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 151 Chapter Test

152. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 152 Chapter Test Solutions x - 224 f(x) 421

153. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 153 Chapter Test Solutions [- π, π] by [-5, 5] [- 2, 10] by [- 2, 5]

154. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 154 Chapter Test Solutions 7. Write a piecewise formula for the function.

155. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 155 Chapter Test Solutions Initial Point (5, 0) Terminal Point (5, 0)

156. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 156 Chapter Test Solutions

157. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 157 Chapter Test Solutions

158. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 1- 158 Chapter Test Solutions [-5, 5] by [-5, 5]