784
Answer Key
⎧ ⎩ ⎨ π 6 ⎧ ⎩ ⎨ π
⎫ ⎭ ⎬
, 5 π 6
155 .
⎫ ⎭ ⎬
3 π
5 π
7 π 4
157 .
4 ,
4 ,
4 ,
⎧ ⎩ ⎨ 2 π
⎫ ⎭ ⎬
5 π 3
159 .
3 ,
⎧ ⎩ ⎨ 0, π , π
⎫ ⎭ ⎬
5 π 3
161 .
3 ,
163 . y =4sin ⎛ ⎝ π 4 x ⎞ ⎠ 165 . y =cos(2 πx ) 167 . a. 1 b. 2 π c. π
4 units to the right
169 . a. 1
2 b. 8 π c. No phase shift
171 . a. 3 b. 2 c. 2
π units to the left
173 . Approximately 42 in. 175 . a. 0.550 rad/sec b. 0.236 rad/sec c. 0.698 rad/min d. 1.697 rad/min 177 . ≈30.9 in 2 179 . a. π/184; the voltage repeats every π/184 sec b. Approximately 59 periods 181 . a. Amplitude = 10; period = 24 b. 47.4° F c. 14 hours later, or 2 p.m. d.
183 . Not one-to-one 185 . Not one-to-one 187 . One-to-one 189 . a. f −1 ( x ) = x +4 b. Domain : x ≥ −4, range: y ≥0 191 . a. f −1 ( x ) = x −1 3 b. Domain: all real numbers, range: all real numbers 193 . a. f −1 ( x ) = x 2 +1, b. Domain: x ≥0, range: y ≥1 195 .
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