**End Behavior of Polynomial Functions****Objective:** Choose the end behavior diagram that best describes the function.Given the polynomial: \[ P(x) = \frac{7}{8} x^7 - x^5 - 5x + 3 \]**Instructions:** Choose from the graphs on the right to find the correct end behavior of the function.**Options:**- **Graph A:** - Left end arrow pointing downwards. - Right end arrow pointing upwards.- **Graph B:** - Left end arrow pointing upwards. - Right end arrow pointing upwards.- **Graph C:** - Both ends with arrows pointing downwards.- **Graph D:** - Left end arrow pointing upwards. - Right end arrow pointing downwards. **Analysis:** Examine the degree and the leading coefficient of the polynomial to determine the correct end behavior. The function \( P(x) \) has a leading term \( \frac{7}{8} x^7 \), indicating an odd-degree polynomial with a positive leading coefficient. This suggests that as \( x \to -\infty \), \( y \to -\infty \) and as \( x \to \infty \), \( y \to \infty \).

Answered: Choose the end behavior diagram that…

Choose the end behavior diagram that best describes the function. P(x)=x²-x³-5x+3 Choose from the graphs on the right. OA. O C. OB. O D.

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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