91Ó°ÊÓ

In Exercises 31-42, graph the functions over the indicated intervals. $$ y=-4 \csc (x+\pi), \text { over at least one period } $$

In Exercises 37-46, sketch the graph of each sinusoidal function over the indicated interval. $$ y=-\frac{1}{2}+\frac{1}{2} \cos \left(\frac{1}{2} x+\frac{\pi}{4}\right),\left[-\frac{9 \pi}{2}, \frac{7 \pi}{2}\right] $$

In Exercises 25-40, graph the given sinusoidal functions over one period. $$ y=-4 \sin \left(\frac{\pi}{2} x\right) $$

In Exercises 41-52, graph the given sinusoidal function over the interval \([-2 p, 2 p]\), where \(p\) is the period of the function. $$ y=2 \cos \left(\frac{\pi}{2} x\right) $$

In Exercises 37-46, sketch the graph of each sinusoidal function over the indicated interval. $$ y=-3+4 \sin [\pi(x-2)],[0,4] $$

In Exercises 31-42, graph the functions over the indicated intervals. $$ y=2 \sec (2 x-\pi),-2 \pi \leq x \leq 2 \pi $$

In Exercises 41-52, graph the given sinusoidal function over the interval \([-2 p, 2 p]\), where \(p\) is the period of the function. $$ y=-3 \sin \left(\frac{\pi}{2} x\right) $$

In Exercises 37-46, sketch the graph of each sinusoidal function over the indicated interval. $$ y=4-3 \cos [\pi(x+1)],[-1,3] $$

In Exercises 31-42, graph the functions over the indicated intervals. $$ y=2 \csc (2 x+\pi),-2 \pi \leq x \leq 2 \pi $$

In Exercises 37-46, sketch the graph of each sinusoidal function over the indicated interval. $$ y=2-3 \cos \left(3 x-\frac{\pi}{2}\right),\left[-\frac{\pi}{2}, \frac{5 \pi}{6}\right] $$