**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:** \((-1, 0.5)\)

Answered: Image /qna-images/answer/71ac815f-b8ea-49e9-b0b9-7ad8f5a3c186.jpg

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

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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Question

**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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