### 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.

The given function is ρx=1+x2-1. ρx=11+x2 Obtain the functions, ρx-1 and ρx+1. ρx-1=11+x-12…

Answered: -1 then Create afplot lover -34AC37…

Math

Advanced Math

-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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Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.

Question

### 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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