**Find the period:**$ y = \cot\left(\frac{\pi x}{2}\right) $**Graph the function.****Explanation of Graphs:**The image contains four graphs of the function $ y = \cot\left(\frac{\pi x}{2}\right) $. Each graph displays the function over different intervals, demonstrating different potential interpretations of the function's transformation.1. **First Graph:** - The graph shows multiple periods of the cotangent function. - Vertical asymptotes are present at $ x = -3, -1, 1, 3 $. - The graph forms descending curves between each pair of asymptotes.2. **Second Graph:** - This graph also shows a segment of the cotangent graph. - The vertical asymptotes occur at $ x = -2, 0, 2, 4 $. - The shape is similar to the first graph but with different placements of asymptotes.3. **Third Graph:** - Displays another potential period of the function. - Vertical asymptotes are located at $ x = -3, -1, 1, 3 $. - The pattern is consistent with the first graph.4. **Fourth Graph:** - Similar to the second graph, but vertical asymptotes are at $ x = -2, 0, 2, 4 $. - The function descends between each asymptote. Each graph is set on an $ x $-$ y $ plane with a consistent range from -6 to 6 on the y-axis and varied intervals on the x-axis to demonstrate different transformations of the function’s period.

Answered: Image /qna-images/answer/9c20c9ba-e2fb-4449-9755-208311f6385f.jpg

Answered: y = cot Graph the function. 1 2. -1 %3D…

y = cot Graph the function. 1 2. -1 %3D -2

11th Edition

ISBN:9780134217437

Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Chapter1: Trigonometric Functions

Section: Chapter Questions

Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.

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