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Magazine Problem 173
For the following exercises, graph the functions for two periods and determine the amplitude or stretching factor, period, midline equation, and asymptotes. $$ f(x)=2\left(\cos \left(x-\frac{4 \pi}{3}\right)+1\right) $$
Problem 174
For the following exercises, graph the functions for two periods and determine the amplitude or stretching factor, period, midline equation, and asymptotes. $$ f(x)=6 \sin \left(3 x-\frac{\pi}{6}\right)-1 $$
Problem 175
For the following exercises, graph the functions for two periods and determine the amplitude or stretching factor, period, midline equation, and asymptotes. $$ f(x)=-100 \sin (50 x-20) $$
Problem 176
For the following exercises, graph the functions for two periods and determine the amplitude or stretching factor, period, midline equation, and asymptotes. $$ f(x)=\tan x-4 $$
Problem 177
For the following exercises, graph the functions for two periods and determine the amplitude or stretching factor, period, midline equation, and asymptotes. $$ f(x)=2 \tan \left(x-\frac{\pi}{6}\right) $$
Problem 178
For the following exercises, graph the functions for two periods and determine the amplitude or stretching factor, period, midline equation, and asymptotes. $$ f(x)=-3 \tan (4 x)-2 $$
Problem 179
For the following exercises, graph the functions for two periods and determine the amplitude or stretching factor, period, midline equation, and asymptotes. $$ f(x)=0.2 \cos (0.1 x)+0.3 $$
Problem 180
For the following exercises, graph two full periods. Identify the period, the phase shift, the amplitude, and asymptotes. $$ f(x)=\frac{1}{3} \sec x $$
Problem 181
For the following exercises, graph two full periods. Identify the period, the phase shift, the amplitude, and asymptotes. $$ f(x)=3 \cot x $$
Problem 182
For the following exercises, graph two full periods. Identify the period, the phase shift, the amplitude, and asymptotes. $$ f(x)=4 \csc (5 x) $$
