Explanations 
Textbooks 
Flashcards 
91影视 AI 
Notes 
Study Plans 
Study Sets 
Find a degree 
Magazine Problem 78
For the following exercises, sketch two periods of the graph for each of the following functions. Identify the stretching factor, period, and asymptotes. $$ f(x)=-3 \cot (2 x) $$
Problem 79
For the following exercises, sketch two periods of the graph for each of the following functions. Identify the stretching factor, period, and asymptotes. $$ f(x)=7 \sec (5 x) $$
Problem 80
For the following exercises, sketch two periods of the graph for each of the following functions. Identify the stretching factor, period, and asymptotes. $$ f(x)=\frac{9}{10} \csc (\pi x) $$
Problem 81
For the following exercises, sketch two periods of the graph for each of the following functions. Identify the stretching factor, period, and asymptotes. $$ f(x)=2 \csc \left(x+\frac{\pi}{4}\right)-1 $$
Problem 82
For the following exercises, sketch two periods of the graph for each of the following functions. Identify the stretching factor, period, and asymptotes. $$ f(x)=-\sec \left(x-\frac{\pi}{3}\right)-2 $$
Problem 83
For the following exercises, sketch two periods of the graph for each of the following functions. Identify the stretching factor, period, and asymptotes. $$ f(x)=\frac{7}{5} \csc \left(x-\frac{\pi}{4}\right) $$
Problem 84
For the following exercises, sketch two periods of the graph for each of the following functions. Identify the stretching factor, period, and asymptotes. $$ f(x)=5\left(\cot \left(x+\frac{\pi}{2}\right)-3\right) $$
Problem 86
For the following exercises, find and graph two periods of the periodic function with the given strething factor, \(|A|\) period, and phase shift. A tangent curve, \(A=-2,\) period of \(\frac{\pi}{4},\) and phase shift \((h, k)=\left(-\frac{\pi}{4},-2\right)\)
Problem 94
For the following exercises, use a graphing calculator to graph two periods of the given function. Note: most graphing calculators do not have a cosecant button; therefore, you will need to input csc \(x\) as as \(\frac{1}{\sin x} .\) $$ f(x)=|\csc (x)| $$
Problem 95
For the following exercises, use a graphing calculator to graph two periods of the given function. Note: most graphing calculators do not have a cosecant button; therefore, you will need to input csc \(x\) as as \(\frac{1}{\sin x} .\) $$ f(x)=|\cot (x)| $$
