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21. x'- 4x s -x' + 4

21. x'- 4x s -x' + 4

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.2: Polynomial Functions Of Higher Degree
Problem 106E: For each graph, describe a polynomial function that could represent the graph. (Indicate the degree...
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I need help with question #21

The image presents a series of polynomial inequality exercises, numbered from 9 to 26. Here’s the transcription of each exercise: 9. \(2(x + 5)(x - 3) \geq 0\) 10. \((x + 1)(x - 2) \leq 0\) 11. \(x^2 - 16x < 0\) 12. \(x^2 - 9x > 0\) 13. \(x^3 - 4x \geq 0\) 14. \(x^2 - 16x \leq 0\) 15. \((x - 2)(x^2 - 4) < 0\) 16. \((x - 5)(x^2 - 9) > 0\) 17. \((x + 2)(x^2 - 5x + 4) \geq 0\) 18. \((x + 3)(x^2 - 3x + 2) \geq 0\) 19. \(x^4 - x^3 > 3\) 20. \(x^4 - 3x^2 < 10\) 21. \(x^2 - 4x \leq -x^2 + 4\) 22. \(x^3 - 7x \leq -6\) 23. \(x^5 \leq 4x\) 24. \(3x^2 \leq 4x^2 - 4x\) 25. \(x^3 \leq 4x^2 - 4x\) 26. \(x^3 - 4x^2 < x^2 - 4x\) The exercises require solving these polynomial inequalities. They vary in complexity and the degree of polynomials involved. Solutions would involve finding the critical points, which are the values of \(x\) that satisfy the equality counterpart of each inequality, testing intervals around these points, and determining where the inequality holds true.
Transcribed Image Text:The image presents a series of polynomial inequality exercises, numbered from 9 to 26. Here’s the transcription of each exercise: 9. \(2(x + 5)(x - 3) \geq 0\) 10. \((x + 1)(x - 2) \leq 0\) 11. \(x^2 - 16x < 0\) 12. \(x^2 - 9x > 0\) 13. \(x^3 - 4x \geq 0\) 14. \(x^2 - 16x \leq 0\) 15. \((x - 2)(x^2 - 4) < 0\) 16. \((x - 5)(x^2 - 9) > 0\) 17. \((x + 2)(x^2 - 5x + 4) \geq 0\) 18. \((x + 3)(x^2 - 3x + 2) \geq 0\) 19. \(x^4 - x^3 > 3\) 20. \(x^4 - 3x^2 < 10\) 21. \(x^2 - 4x \leq -x^2 + 4\) 22. \(x^3 - 7x \leq -6\) 23. \(x^5 \leq 4x\) 24. \(3x^2 \leq 4x^2 - 4x\) 25. \(x^3 \leq 4x^2 - 4x\) 26. \(x^3 - 4x^2 < x^2 - 4x\) The exercises require solving these polynomial inequalities. They vary in complexity and the degree of polynomials involved. Solutions would involve finding the critical points, which are the values of \(x\) that satisfy the equality counterpart of each inequality, testing intervals around these points, and determining where the inequality holds true.
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