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Test end behavior and describe the graph f(x) = -2x ³-x ² + x

Test end behavior and describe the graph f(x) = -2x ³-x ² + x

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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**End Behavior and Graph Description** 1. **Task**: Test end behavior and describe the graph of the function. - **Function**: \( f(x) = -2x^3 - x^2 + x \) **Polynomial Division** 2. **Task**: Use long division to divide the polynomial. - **Expression**: \( x^3 = 5x^2 - 9x - 45; x - 5 \) **Asymptotes Determination** 3. **Task**: Determine the equations of any horizontal and vertical asymptotes. - **Function**: \( f(x) = \frac{x + 8}{x^2 - 36} \) **Note:** Ensure you understand polynomial long division and asymptote calculations for accurate graphing and analysis.
Transcribed Image Text:**End Behavior and Graph Description** 1. **Task**: Test end behavior and describe the graph of the function. - **Function**: \( f(x) = -2x^3 - x^2 + x \) **Polynomial Division** 2. **Task**: Use long division to divide the polynomial. - **Expression**: \( x^3 = 5x^2 - 9x - 45; x - 5 \) **Asymptotes Determination** 3. **Task**: Determine the equations of any horizontal and vertical asymptotes. - **Function**: \( f(x) = \frac{x + 8}{x^2 - 36} \) **Note:** Ensure you understand polynomial long division and asymptote calculations for accurate graphing and analysis.
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Given function is f open parentheses x close parentheses equals negative 2 x cubed minus x squared plus x

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