Intermediate Algebra – Student Workbook – Second Edition 2013

More documents

Recommendations

Info

$Lesson 2a – Assessment - Scottsdale Community College - Math Blog$

Lesson 6a - Exponents and Rational Functions Mini-Lesson Problem 5 MEDIA EXAMPLE – KEY CHARACTERISTICS OF RATIONAL FUNCTIONS a) Graph 4x f ( x) and determine the horizontal and vertical asymptotes and the domain. x 7 b) Graph 3x f ( x) and determine the horizontal and vertical asymptotes and the domain. 7 x 9 c) Quick Example: Find the Horizontal Asymptote for x 1 f ( x) . x 5 The ratio of highest degree terms in the numerator/denominator is y = x = 1 so the Horizontal x Asymptote for this function is y = 1. Scottsdale Community College Page 248 Intermediate Algebra
Lesson 6a - Exponents and Rational Functions Mini-Lesson SOLVE RATIONAL EQUATIONS BY GRAPHING To solve Rational Equations by graphing: Let y1 = one side of the equation Let y2 = other side of the equation Determine an appropriate window to see important parts of the graph Use the intersection method You may have more than one solution The x-value(s) of the intersection are your solutions Problem 6 WORKED EXAMPLE – SOLVE RATIONAL EQUATIONS BY GRAPHING Solve 3 5x 4 x 4 Let Y1 = 5x Let Y2 = 4 + 3/(x-4) Note use of ( ) Graph on window x: [-10..10], y:[-10..30] If you use standard window you do not see the upper intersection. You will need to perform the intersection process two separate times on your calculator. One time, you should get x = 0.62 (the left intersection) and the second time you should get x = 4.18. Be sure to move your cursor far enough (it has to go all the way across the vertical asymptote) to read the second intersection. Solutions, then, are x = 0.62, 4.18 Problem 7 MEDIA EXAMPLE – SOLVE RATIONAL EQUATIONS BY GRAPHING Solve 3x 3 1 by graphing. Round answer(s) to two decimals as needed. x 1 Scottsdale Community College Page 249 Intermediate Algebra
Page 1 and 2:
Scottsdale Community College Interm
Page 3 and 4:
Table of Contents Lesson 1a - Intro
Page 5 and 6:
Lesson 1a - Introduction to Functio
Page 7 and 8:
Name: _____________________ Date: _
Page 9 and 10:
Page 11 and 12:
Page 13 and 14:
Page 15 and 16:
Page 17 and 18:
Page 19 and 20:
Page 21 and 22:
Name: _____________________ Date: _
Page 23 and 24:
Page 25 and 26:
Page 27 and 28:
Page 29 and 30:
Name: _____________________ Date: _
Page 31 and 32:
Lesson 1b - Linear Equations In the
Page 33 and 34:
Name: _____________________ Date: _
Page 35 and 36:
Lesson 1b - Linear Equations Mini-L
Page 37 and 38:
Page 39 and 40:
Page 41 and 42:
Page 43 and 44:
Page 45 and 46:
Name: _____________________ Date: _
Page 47 and 48:
Lesson 1b - Linear Equations Practi
Page 49 and 50:
Page 51 and 52:
Page 53 and 54:
Name: _____________________ Date: _
Page 55 and 56:
Lesson 2a - Linear Functions and Ap
Page 57 and 58:
Name: _____________________ Date: _
Page 59 and 60:
Page 61 and 62:
Page 63 and 64:
Page 65 and 66:
Page 67 and 68:
Page 69 and 70:
Name: _____________________ Date: _
Page 71 and 72:
Page 73 and 74:
Page 75 and 76:
Name: _____________________ Date: _
Page 77 and 78:
Lesson 2b - Functions and Function
Page 79 and 80:
Name: _____________________ Date: _
Page 81 and 82:
Page 83 and 84:
Page 85 and 86:
Page 87 and 88:
Page 89 and 90:
Page 91 and 92:
Name: _____________________ Date: _
Page 93 and 94:
Page 95 and 96:
Page 97 and 98:
Name: _____________________ Date: _
Page 99 and 100:
Lesson 3a - Introduction to Exponen
Page 101 and 102:
Name: _____________________ Date: _
Page 103 and 104:
Page 105 and 106:
Page 107 and 108:
Page 109 and 110:
Page 111 and 112:
Page 113 and 114:
Page 115 and 116:
Page 117 and 118:
Name: _____________________ Date: _
Page 119 and 120:
Page 121 and 122:
Page 123 and 124:
Name: _____________________ Date: _
Page 125 and 126:
Lesson 3b - More Exponential Functi
Page 127 and 128:
Name: _____________________ Date: _
Page 129 and 130:
Page 131 and 132:
Page 133 and 134:
Page 135 and 136:
Page 137 and 138:
Name: _____________________ Date: _
Page 139 and 140:
Page 141 and 142:
Page 143 and 144:
Page 145 and 146:
Name: _____________________ Date: _
Page 147 and 148:
Lesson 4a - Introduction to Logarit
Page 149 and 150:
Name: _____________________ Date: _
Page 151 and 152:
Page 153 and 154:
Page 155 and 156:
Page 157 and 158:
Page 159 and 160:
Name: _____________________ Date: _
Page 161 and 162:
Page 163 and 164:
Name: _____________________ Date: _
Page 165 and 166:
Lesson 4b - More on Logarithms This
Page 167 and 168:
Name: _____________________ Date: _
Page 169 and 170:
Lesson 4b - More on Logarithms Mini
Page 171 and 172:
Page 173 and 174:
Page 175 and 176:
Page 177 and 178:
Name: _____________________ Date: _
Page 179 and 180:
Lesson 4b - More on Logarithms Prac
Page 181 and 182:
Page 183 and 184:
Page 185 and 186:
Name: _____________________ Date: _
Page 187 and 188:
Lesson 5a - Introduction to Quadrat
Page 189 and 190:
Name: _____________________ Date: _
Page 191 and 192:
Page 193 and 194:
Page 195 and 196:
Page 197 and 198:
Page 199 and 200:
Page 201 and 202: Name: _____________________ Date: _
Page 203 and 204: Lesson 5a - Introduction to Quadrat
Page 211 and 212: Lesson 5b - Solving Quadratic Equat
Page 243 and 244: Lesson 6a - Exponents and Rational
Page 251: Lesson 6a - Exponents and Rational
Page 267 and 268: Lesson 6b - Rational Exponents & Ra
Page 271 and 272: Lesson 6b - Rational Exponents and
Page 287 and 288: Appendix A: You Try Answers Lesson
Page 289 and 290: Appendix A: You Try Answers You Try
show all

Intermediate Algebra – Student Workbook – Second Edition 2013

Create successful ePaper yourself

Delete template?

Save as template?