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The graph of the polynomial f(x) is shown in the figure. Estimate the zeros and state whether their multiplicities are odd or even. -3 -₂ -5-4-3 Ay 10- 8- 6- -4- 2- -6- 10- 3 4 Q Q O A. O B. O C. O D. - 3 (odd), -3 (even), -3 (odd), N|→ 2 (odd), 2 (even) 1 2 1 2 (even), 2 (odd) (even), 2 (odd) 1 -3 (even), -- (odd), 2 (even)

The graph of the polynomial f(x) is shown in the figure. Estimate the zeros and state whether their multiplicities are odd or even. -3 -₂ -5-4-3 Ay 10- 8- 6- -4- 2- -6- 10- 3 4 Q Q O A. O B. O C. O D. - 3 (odd), -3 (even), -3 (odd), N|→ 2 (odd), 2 (even) 1 2 1 2 (even), 2 (odd) (even), 2 (odd) 1 -3 (even), -- (odd), 2 (even)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The image presents a polynomial function graph, \( f(x) \), and poses a question about estimating the zeros of the polynomial and determining whether their multiplicities are odd or even. **Graph Description:** - The graph is a blue curve on a coordinate plane. - The x-axis ranges from -5 to 5, and the y-axis ranges from -10 to 10. - The curve crosses the x-axis at approximately \( x = -3 \), \( x = -\frac{1}{2} \), and \( x = 2 \). - The curve touches the x-axis at \( x = -3 \) and \( x = 2 \) and seems to pass through at \( x = -\frac{1}{2} \). **Question:** Estimate the zeros and state whether their multiplicities are odd or even. **Answer Choices:** - **A.** \(-3\) (odd), \(-\frac{1}{2}\) (odd), \(2\) (even) - **B.** \(-3\) (even), \(-\frac{1}{2}\) (even), \(2\) (odd) - **C.** \(-3\) (odd), \(-\frac{1}{2}\) (even), \(2\) (odd) - **D.** \(-3\) (even), \(-\frac{1}{2}\) (odd), \(2\) (even) The task is to identify the correct zero estimations and their respective multiplicities from the options given.
Transcribed Image Text:The image presents a polynomial function graph, \( f(x) \), and poses a question about estimating the zeros of the polynomial and determining whether their multiplicities are odd or even. **Graph Description:** - The graph is a blue curve on a coordinate plane. - The x-axis ranges from -5 to 5, and the y-axis ranges from -10 to 10. - The curve crosses the x-axis at approximately \( x = -3 \), \( x = -\frac{1}{2} \), and \( x = 2 \). - The curve touches the x-axis at \( x = -3 \) and \( x = 2 \) and seems to pass through at \( x = -\frac{1}{2} \). **Question:** Estimate the zeros and state whether their multiplicities are odd or even. **Answer Choices:** - **A.** \(-3\) (odd), \(-\frac{1}{2}\) (odd), \(2\) (even) - **B.** \(-3\) (even), \(-\frac{1}{2}\) (even), \(2\) (odd) - **C.** \(-3\) (odd), \(-\frac{1}{2}\) (even), \(2\) (odd) - **D.** \(-3\) (even), \(-\frac{1}{2}\) (odd), \(2\) (even) The task is to identify the correct zero estimations and their respective multiplicities from the options given.
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