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hat is the degree of the p 9

hat is the degree of the p 9

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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Use the tables to determine the degree of the power function 

### Title: Determining the Degree of a Power Function #### Description: To determine the degree of a power function using tabulated data, you can analyze how changes in the variable \(x\) affect the function \(f(x)\). #### Table: The provided table includes the values of \(x\) and the corresponding \(f(x)\): | \(x\) | \(f(x)\) | |------|--------| | \(-3\) | \(-23\) | | \(-2\) | \(-4\) | | \(-1\) | 3 | | 0 | 4 | | 1 | 5 | | 2 | 12 | | 3 | 31 | #### Analysis: To find the degree of the power function, observe how \(f(x)\) changes with \(x\). Check successive differences between the \(f(x)\) values to understand how \(f(x)\) is related to powers of \(x\). #### Conclusion: Explore the pattern of changes (differences) to identify whether the relationship between \(x\) and \(f(x)\) follows a constant, linear, quadratic, or higher power pattern. This will help you determine the degree of the power function.
Transcribed Image Text:### Title: Determining the Degree of a Power Function #### Description: To determine the degree of a power function using tabulated data, you can analyze how changes in the variable \(x\) affect the function \(f(x)\). #### Table: The provided table includes the values of \(x\) and the corresponding \(f(x)\): | \(x\) | \(f(x)\) | |------|--------| | \(-3\) | \(-23\) | | \(-2\) | \(-4\) | | \(-1\) | 3 | | 0 | 4 | | 1 | 5 | | 2 | 12 | | 3 | 31 | #### Analysis: To find the degree of the power function, observe how \(f(x)\) changes with \(x\). Check successive differences between the \(f(x)\) values to understand how \(f(x)\) is related to powers of \(x\). #### Conclusion: Explore the pattern of changes (differences) to identify whether the relationship between \(x\) and \(f(x)\) follows a constant, linear, quadratic, or higher power pattern. This will help you determine the degree of the power function.
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