Sketch two periods of the graph of the function p(z) - tan (2-4). Identify the stretching factor, period, and asymptotes. Enter the exact answers. For the number , either choose from the bar at the top or type in Pi (with a capital P). Stretching factor = Number vala Period: P = Enter the asymptotes of the function on the domain [-P, P. To enter *, type Pi. The field below accepts a list of numbers or formulas separated by semicolons (e.g. 2; 4; 6 or z + 1; z-1). The order of the list does not matter. Asymptotes: - 24 P 99 B 6
Sketch two periods of the graph of the function p(z) - tan (2-4). Identify the stretching factor, period, and asymptotes. Enter the exact answers. For the number , either choose from the bar at the top or type in Pi (with a capital P). Stretching factor = Number vala Period: P = Enter the asymptotes of the function on the domain [-P, P. To enter *, type Pi. The field below accepts a list of numbers or formulas separated by semicolons (e.g. 2; 4; 6 or z + 1; z-1). The order of the list does not matter. Asymptotes: - 24 P 99 B 6
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
4. **Enter the asymptotes of the function on the domain \([-P, P]\).**
- To enter \(\pi\), type Pi.
- The field below accepts a list of numbers or formulas separated by semicolons (e.g. \(2; 4; 6\) or \(x + 1; x - 1\)). The order of the list does not matter.
**Graph Explanation:**
- **Stretching Factor:** This determines how the graph is stretched or compressed horizontally or vertically.
- **Period:** The period of the tangent function is the length of one complete cycle of the graph. For the function \( \tan(x) \), the period is \(\pi\).
- **Asymptotes:** These are the vertical lines where the function is undefined, which occur at \( x = \frac{\pi}{2} + k\pi \) for any integer \(k\).
**Fields to Enter:**
- **Stretching Factor**
Input box for stretching factor.
- **Period:**
- **Asymptotes:**
**](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2da59d05-ea7a-47ad-8289-54dec09680e5%2F3468cfe5-e94c-417a-b38e-1a29f1074805%2Fky3030w_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Title: Analyzing the Graph of the Function \( p(x) = \tan \left( x - \frac{\pi}{4} \right) \)**
**Objective:**
In this exercise, we will sketch two periods of the graph of the function \( p(x) = \tan \left( x - \frac{\pi}{4} \right) \). We will identify the stretching factor, period, and asymptotes.
**Instructions:**
1. **Enter the exact answers.**
- For the number \(\pi\), either choose \(\pi\) from the bar at the top or type in Pi (with a capital P).
2. **Identify the stretching factor.**
- Input the stretching factor in the provided field.
3. **Determine the Period:**
- Enter the period \(P\) in the provided box.
- Remember, you can input \(\pi\) either by selecting it from the bar or typing "Pi".
4. **Enter the asymptotes of the function on the domain \([-P, P]\).**
- To enter \(\pi\), type Pi.
- The field below accepts a list of numbers or formulas separated by semicolons (e.g. \(2; 4; 6\) or \(x + 1; x - 1\)). The order of the list does not matter.
**Graph Explanation:**
- **Stretching Factor:** This determines how the graph is stretched or compressed horizontally or vertically.
- **Period:** The period of the tangent function is the length of one complete cycle of the graph. For the function \( \tan(x) \), the period is \(\pi\).
- **Asymptotes:** These are the vertical lines where the function is undefined, which occur at \( x = \frac{\pi}{2} + k\pi \) for any integer \(k\).
**Fields to Enter:**
- **Stretching Factor**
Input box for stretching factor.
- **Period:**
- **Asymptotes:**
**
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