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Problem 46

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

Problem 46

Find the Cartesian coordinates of each given point after it is moved \(\pi / 6\) units to the right and 2 units upward. $$ (\pi / 6,-2) $$

Problem 47

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

Problem 47

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

Problem 47

Find the Cartesian coordinates of each given point after it is moved \(\pi / 6\) units to the right and 2 units upward. $$ (\pi / 2,0) $$

Problem 47

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

Problem 48

Sketch at least one cycle of the graph of each function. Determine the period and the equations of the vertical asymptotes. $$ y=\tan \left(\frac{\pi}{4} x+\frac{3 \pi}{4}\right) $$

Problem 48

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

Problem 48

Sketch at least one cycle of the graph of each secant function. Determine the period, asymptotes, and range of each function. $$ y=2-2 \sec \left(\frac{x}{2}\right) $$

Problem 48

Find the Cartesian coordinates of each given point after it is moved \(\pi / 6\) units to the right and 2 units upward. $$ (\pi / 3,-1) $$

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