Problem 6
In Exercises 1-8, match each function to its graph (a)-(h). $$ y=-\cot (\pi x) $$
Problem 11
In Exercises 11-24, state the amplitude and period of each sinusoidal function. $$ y=\frac{3}{2} \cos (3 x) $$
Problem 14
In Exercises 11-24, state the amplitude and period of each sinusoidal function. $$ y=-\cos (7 x) $$
Problem 15
In Exercises 9-18, determine the period and phase shift (if there is one) for each function. $$ y=\tan (0.5 x+2 \pi) $$
Problem 31
In Exercises 31-42, graph the functions over the indicated intervals. $$ y=\sec \left(\frac{1}{2} x\right),-2 \pi \leq x \leq 2 \pi $$
Problem 32
In Exercises 25-40, graph the given sinusoidal functions over one period. $$ y=\sin (0.5 x) $$
Problem 35
In Exercises 25-36, state the amplitude, period, and phase shift of each sinusoidal function. $$ y=2 \sin (3 x+\pi) $$
Problem 45
In Exercises 37-46, sketch the graph of each sinusoidal function over the indicated interval. $$ y=2-\sin \left[-\frac{\pi}{2}\left(x-\frac{1}{2}\right)\right],\left[-\frac{7}{2}, \frac{9}{2}\right] $$
Problem 46
In Exercises 37-46, sketch the graph of each sinusoidal function over the indicated interval. $$ y=1-\cos \left[-\frac{\pi}{2}\left(x+\frac{1}{2}\right)\right],\left[-\frac{9}{2}, \frac{7}{2}\right] $$
Problem 52
In Exercises 51-56, state the domain and range of the functions. $$ y=\cot \left(x-\frac{\pi}{2}\right) $$