**Transcription of Polynomial Graph Analysis**The graph of a polynomial $ f(x) $ is shown. Estimate the zeros and state whether their multiplicities are odd or even.- **The zeros are** [Input field] *(Use a comma to separate answers as needed.)*- **Is the multiplicity of the leftmost zero odd or even?** - ○ Odd - ○ Even - **Is the multiplicity of the rightmost zero odd or even?** - ○ Odd - ○ Even **Graph Analysis:**The image shows a graph of a polynomial function $ f(x) $ plotted on a coordinate grid. The $ x $-axis ranges from approximately -10 to 10, and the $ y $-axis ranges from -80 to 80. The polynomial intersects the $ x $-axis twice, indicating two zeros at approximately $ x = -3 $ and $ x = 3 $.- **Leftmost Zero:** The graph crosses the $ x $-axis at roughly $ x = -3 $, suggesting a zero at this point. The curve appears to pass through, indicating an odd multiplicity.- **Rightmost Zero:** The graph touches the $ x $-axis and turns around at approximately $ x = 3 $, suggesting a zero with even multiplicity, as the curve does not pass through this point.This analysis helps identify the approximate zeros and infer the nature of their multiplicities based on the behavior of the graph at these points.

we have to find the zeros by seeing a graph hence the number of points the graph cuts the x-axis…

The graph of a polynomial f(x) is shown. Estimate the zeros and state whether their multiplicities are odd or even. 70- The zeros are 60 50- 40- 30- (Use a comma to separate answers as needed.) Is the multiplicity of the leftmost zero odd or even? 20- 10- Odd Even -10 -8-6-4-210 -20- -30- -40- -50- 60 +70 Is the multiplicity of the rightmost zero odd or even? Odd O Even

The graph of a polynomial f(x) is shown. Estimate the zeros and state whether their multiplicities are odd or even. 70- The zeros are 60 50- 40- 30- (Use a comma to separate answers as needed.) Is the multiplicity of the leftmost zero odd or even? 20- 10- Odd Even -10 -8-6-4-210 -20- -30- -40- -50- 60 +70 Is the multiplicity of the rightmost zero odd or even? Odd O Even

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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Roots

The main dissimilarity between real and complex roots is that the real roots are obtained as real numbers, in contrast with the complex roots, which are indicated as imaginary numbers. The standard format for depicting any complex number is in the form of a + bi.

Question

**Transcription of Polynomial Graph Analysis**

The graph of a polynomial $ f(x) $ is shown. Estimate the zeros and state whether their multiplicities are odd or even.

- **The zeros are** [Input field]
*(Use a comma to separate answers as needed.)*

- **Is the multiplicity of the leftmost zero odd or even?**
- ○ Odd
- ○ Even

- **Is the multiplicity of the rightmost zero odd or even?**
- ○ Odd
- ○ Even

**Graph Analysis:**

The image shows a graph of a polynomial function $ f(x) $ plotted on a coordinate grid. The $ x $-axis ranges from approximately -10 to 10, and the $ y $-axis ranges from -80 to 80. The polynomial intersects the $ x $-axis twice, indicating two zeros at approximately $ x = -3 $ and $ x = 3 $.

- **Leftmost Zero:** The graph crosses the $ x $-axis at roughly $ x = -3 $, suggesting a zero at this point. The curve appears to pass through, indicating an odd multiplicity.

- **Rightmost Zero:** The graph touches the $ x $-axis and turns around at approximately $ x = 3 $, suggesting a zero with even multiplicity, as the curve does not pass through this point.

This analysis helps identify the approximate zeros and infer the nature of their multiplicities based on the behavior of the graph at these points.

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