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Graph two periods of the given secant function. O A OB. 20+ y=7 sec x 20 Choose e the correct graph to the right. TALETA 20 OD. OC. Ay 20 A 20- %23 -

Graph two periods of the given secant function. O A OB. 20+ y=7 sec x 20 Choose e the correct graph to the right. TALETA 20 OD. OC. Ay 20 A 20- %23 -

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Graphing Secant Functions** **Objective:** Graph two periods of the given secant function. **Function:** \( y = 7 \sec x \) **Task:** Choose the correct graph to the right. **Graph Descriptions:** Each graph option (A, B, C, D) shows a plot of the function \( y = 7 \sec x \) over an interval. - The x-axis is labeled with increments of \( \frac{\pi}{2} \). - The y-axis ranges from -20 to 20. **Options:** - **Option A:** Shows a secant graph from \( -2\pi \) to \( 2\pi \) with vertical asymptotes at each \( \frac{\pi}{2} \) interval. - **Option B:** Features a similar pattern with different positioning of asymptotes. - **Option C:** Also shows the secant graph with consistent vertical asymptotes and alternating positive and negative curves. - **Option D:** Similar configuration with a variation in the symmetry and position of curves. **Figure Details:** - Vertical asymptotes indicate where the function is undefined. - The curves of the secant function intersect the y-axis at points where the cosine function is at its extrema. Examine the graph options carefully to determine which accurately represents two periods of the function \( y = 7 \sec x \).
Transcribed Image Text:**Graphing Secant Functions** **Objective:** Graph two periods of the given secant function. **Function:** \( y = 7 \sec x \) **Task:** Choose the correct graph to the right. **Graph Descriptions:** Each graph option (A, B, C, D) shows a plot of the function \( y = 7 \sec x \) over an interval. - The x-axis is labeled with increments of \( \frac{\pi}{2} \). - The y-axis ranges from -20 to 20. **Options:** - **Option A:** Shows a secant graph from \( -2\pi \) to \( 2\pi \) with vertical asymptotes at each \( \frac{\pi}{2} \) interval. - **Option B:** Features a similar pattern with different positioning of asymptotes. - **Option C:** Also shows the secant graph with consistent vertical asymptotes and alternating positive and negative curves. - **Option D:** Similar configuration with a variation in the symmetry and position of curves. **Figure Details:** - Vertical asymptotes indicate where the function is undefined. - The curves of the secant function intersect the y-axis at points where the cosine function is at its extrema. Examine the graph options carefully to determine which accurately represents two periods of the function \( y = 7 \sec x \).
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