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Problem 41

Sketch at least one cycle of the graph of each function. Determine the period and the equations of the vertical asymptotes. $$ y=\tan (\pi x) $$

Problem 42

Sketch at least one cycle of the graph of each function. Determine the period and the equations of the vertical asymptotes. $$ y=\tan (\pi x / 2) $$

Problem 42

Describe the graph of each function then graph the function between -2 and 2 using a graphing calculator or computer. $$ y=\cos \pi x+\cos \frac{\pi}{2} x $$

Problem 42

Sketch at least one cycle of the graph of each secant function. Determine the period, asymptotes, and range of each function. $$ y=\sec (x-\pi / 6) $$

Problem 43

Let \(f(x)=\sin (x), g(x)=x-\pi / 4,\) and \(h(x)=3 x .\) Find each of the following. $$ g(\pi / 4) $$

Problem 44

Sketch at least one cycle of the graph of each function. Determine the period and the equations of the vertical asymptotes. $$ y=3 \tan (x)-2 $$

Problem 44

Let \(f(x)=\sin (x), g(x)=x-\pi / 4,\) and \(h(x)=3 x .\) Find each of the following. $$ g(\pi / 2) $$

Problem 45

Sketch at least one cycle of the graph of each function. Determine the period and the equations of the vertical asymptotes. $$ y=-\tan (x-\pi / 2) $$

Problem 45

Sketch at least one cycle of the graph of each secant function. Determine the period, asymptotes, and range of each function. $$ y=2 \sec (\pi x) $$

Problem 46

Sketch at least one cycle of the graph of each secant function. Determine the period, asymptotes, and range of each function. $$ y=3 \sec (\pi x / 2) $$

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