-1 then Create afplot lover -34AC37 Confaining the geagh 4) Plar, f/X-11, and flaul
-1 then Create afplot lover -34AC37 Confaining the geagh 4) Plar, f/X-11, and flaul
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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Transcribed Image Text:### Mathematical Function Visualization
**Instructions:**
1. **Input the Function:** Enter \( p(x) = (1+x^2)^{-1} \) into Maple (a computational software tool).
2. **Create a Plot:** Generate a plot over the range \(-3 \leq x \leq 3\).
3. **Graph Contents:** The plot should include the following graphs:
- \( p(x) \)
- \( p(x-1) \)
- \( p(x+1) \)
### Notes on Visualization
- Visualizing these functions will show how the graph of the function \( p(x) = (1+x^2)^{-1} \) shifts when modifying the input values by \(-1\) and \(+1\).
- This exercise can help understand the effects of translating a function horizontally on a graph.
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