1. Write the complete factored form of f(x). y 8. y = f(x) 4 -2 2 3 -8

Algebra and Trigonometry (6th Edition)
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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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**Question 1:** Write the complete factored form of \( f(x) \).

**Graph Analysis:**

The graph depicts a polynomial function \( y = f(x) \). Here is a detailed examination of the graph:

- **Axes:** The graph is plotted on a standard Cartesian coordinate system with the x-axis and y-axis.
- **Scale:** The x and y axes are marked with a scale of 1 unit. Notable points are marked: -2, 1, 2, 3 on the x-axis, and -8, 4, 8 on the y-axis.
- **Curve Description:** The curve appears to be a polynomial with several turning points. It crosses the x-axis at approximately \( x = -2.5 \), \( x = 1 \), and \( x = 3 \).
- **Behavior:** 
  - As \( x \) approaches negative infinity, \( y \) also decreases, suggesting the left end behavior.
  - As \( x \) approaches positive infinity, \( y \) decreases, indicating the right end behavior. 
- **Y-Intercept:** The graph does not clearly show the specific point where it intersects the y-axis.

The graph may indicate that the function \( f(x) \) is a polynomial with potential factors corresponding to the observed x-intercepts.
Transcribed Image Text:**Question 1:** Write the complete factored form of \( f(x) \). **Graph Analysis:** The graph depicts a polynomial function \( y = f(x) \). Here is a detailed examination of the graph: - **Axes:** The graph is plotted on a standard Cartesian coordinate system with the x-axis and y-axis. - **Scale:** The x and y axes are marked with a scale of 1 unit. Notable points are marked: -2, 1, 2, 3 on the x-axis, and -8, 4, 8 on the y-axis. - **Curve Description:** The curve appears to be a polynomial with several turning points. It crosses the x-axis at approximately \( x = -2.5 \), \( x = 1 \), and \( x = 3 \). - **Behavior:** - As \( x \) approaches negative infinity, \( y \) also decreases, suggesting the left end behavior. - As \( x \) approaches positive infinity, \( y \) decreases, indicating the right end behavior. - **Y-Intercept:** The graph does not clearly show the specific point where it intersects the y-axis. The graph may indicate that the function \( f(x) \) is a polynomial with potential factors corresponding to the observed x-intercepts.
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