College Algebra & Trigonometry, 2018a

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9.4. PHASE SHIFT 421 − 2π 6 , π 6 , 4π 6 , 7π 6 and 10π 6 or, in reduced form: − π 3 , π 6 , 2π 3 , 7π 6 and 5π 3 In order to graph the function, we would put these values along the x-axis and plot the standard quadrantal y-values to match up with them: 1 − π 3 0 π 6 2π 3 7π 6 5π 3 −1 The y-values for the sine function start at zero, go up to the maximum, back down through zero to the minimum and then back to zero: 1 max zero − π 3 0 π 6 zero 2π 3 7π 6 zero 5π 3 −1 min
422 CHAPTER 9. GRAPHING THE TRIGONOMETRIC FUNCTIONS Connecting these points to make a sine curve produces the following graph: 1 − π 3 0 π 6 2π 3 7π 6 5π 3 −1
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College Algebra & Trigonometry
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c○2018 Richard W. Beveridge This
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4 CONTENTS 2.4 Solution of Rational
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6 CONTENTS 8.2 The Trigonometric Ra
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8 CONTENTS
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10 CHAPTER 1. ALGEBRA REVIEW Exampl
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30 CHAPTER 1. ALGEBRA REVIEW Then,
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40 CHAPTER 1. ALGEBRA REVIEW devise
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42 CHAPTER 1. ALGEBRA REVIEW −7i(
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80 CHAPTER 1. ALGEBRA REVIEW Addend
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86 CHAPTER 1. ALGEBRA REVIEW 40) A
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88 CHAPTER 2. POLYNOMIAL AND RATION
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100 CHAPTER 2. POLYNOMIAL AND RATIO
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140 CHAPTER 3. EXPONENTS AND LOGARI
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190 CHAPTER 4. FUNCTIONS by substit
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192 CHAPTER 4. FUNCTIONS 4.2 Domain
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194 CHAPTER 4. FUNCTIONS Exercises
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196 CHAPTER 4. FUNCTIONS 8) 12 10 8
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198 CHAPTER 4. FUNCTIONS We can use
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200 CHAPTER 4. FUNCTIONS 3) 20 16 1
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202 CHAPTER 4. FUNCTIONS Vertical S
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204 CHAPTER 4. FUNCTIONS Now, if, i
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206 CHAPTER 4. FUNCTIONS So the gra
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208 CHAPTER 4. FUNCTIONS Stretching
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210 CHAPTER 4. FUNCTIONS Multiplyin
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214 CHAPTER 4. FUNCTIONS 3) Match e
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216 CHAPTER 4. FUNCTIONS 6) f(x) 7)
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218 CHAPTER 4. FUNCTIONS Being fami
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222 CHAPTER 4. FUNCTIONS 4.6 Piecew
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226 CHAPTER 4. FUNCTIONS 4.7 Compos
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228 CHAPTER 4. FUNCTIONS 17) h(x) =
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230 CHAPTER 4. FUNCTIONS Original f
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234 CHAPTER 4. FUNCTIONS 19) f(x) =
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236 CHAPTER 4. FUNCTIONS 4.9 Optimi
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238 CHAPTER 4. FUNCTIONS 2) The gra
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242 CHAPTER 4. FUNCTIONS 8) A recta
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244 CHAPTER 4. FUNCTIONS So, our fi
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248 CHAPTER 4. FUNCTIONS Distance O
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250 CHAPTER 4. FUNCTIONS The graph
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252 CHAPTER 4. FUNCTIONS Distance/T
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254 CHAPTER 4. FUNCTIONS The graph
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256 CHAPTER 4. FUNCTIONS 3) A power
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258 CHAPTER 5. CONIC SECTIONS - CIR
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288 CHAPTER 6. SEQUENCES AND SERIES
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344 CHAPTER 8. RIGHT TRIANGLE TRIGO
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College Algebra & Trigonometry, 2018a

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