Determine the intervals over which f(x) = 6x4 + 2x3 – x²+x – 2 is positive and negative. Round decimals to the nearest hundredth. Positive: Never Negative: (-1, -0.5) Positive: (-, -1) and (0.67, ∞) Negative: (-1, O.67) Positive: (-0.5, ∞) Negative: (-0, -0.5) Positive: (-∞, -1) and (0.5, ∞) Dlogntiuo( 105

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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**Problem Statement:**

Determine the intervals over which \( f(x) = 6x^4 + 2x^3 - x^2 + x - 2 \) is positive and negative. Round decimals to the nearest hundredth.

**Answer Choices:**

1. **Positive:** Never  
   **Negative:** \((-1, -0.5)\)

2. **Positive:** \((-\infty, -1)\) and \((0.67, \infty)\)  
   **Negative:** \((-1, 0.67)\)

3. **Positive:** \((-0.5, \infty)\)  
   **Negative:** \((-\infty, -0.5)\)

4. **Positive:** \((-\infty, -1)\) and \((0.5, \infty)\)  
   **Negative:** \((-1, 0.5)\)
Transcribed Image Text:**Problem Statement:** Determine the intervals over which \( f(x) = 6x^4 + 2x^3 - x^2 + x - 2 \) is positive and negative. Round decimals to the nearest hundredth. **Answer Choices:** 1. **Positive:** Never **Negative:** \((-1, -0.5)\) 2. **Positive:** \((-\infty, -1)\) and \((0.67, \infty)\) **Negative:** \((-1, 0.67)\) 3. **Positive:** \((-0.5, \infty)\) **Negative:** \((-\infty, -0.5)\) 4. **Positive:** \((-\infty, -1)\) and \((0.5, \infty)\) **Negative:** \((-1, 0.5)\)
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