X -3 -2 -1 0 1 2 Identify the relationship (linear, quadratic or cubic) between the (XX) values below and write the equation. y -11 -1 3 1 -7 -21

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Title: Understanding Mathematical Relationships

Objective:
Identify the relationship (linear, quadratic, or cubic) between the given \((x, y)\) values and write the equation.

Data Table:

| x  | y   |
|----|-----|
| -3 | -11 |
| -2 | -1  |
| -1 | 3   |
| 0  | 1   |
| 1  | -7  |
| 2  | -21 |

Instructions:
- Analyze the pattern formed by the \((x, y)\) pairs.
- Determine whether the relationship is linear, quadratic, or cubic.
- Derive the mathematical equation that fits the data.
Transcribed Image Text:Title: Understanding Mathematical Relationships Objective: Identify the relationship (linear, quadratic, or cubic) between the given \((x, y)\) values and write the equation. Data Table: | x | y | |----|-----| | -3 | -11 | | -2 | -1 | | -1 | 3 | | 0 | 1 | | 1 | -7 | | 2 | -21 | Instructions: - Analyze the pattern formed by the \((x, y)\) pairs. - Determine whether the relationship is linear, quadratic, or cubic. - Derive the mathematical equation that fits the data.
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