---Complete the information in parts A-F for the function $ f(x) = x^3 + 2x^2 $.### A. DegreeThe degree of the function is [ ] (Enter a number.)### B. Leading CoefficientThe sign of the leading coefficient is [ $\downarrow $ ] (select positive or negative).### C. End BehaviorSelect the image that best represents the graph's end behavior.- [ ] Up-Up- [ ] Up-Down- [ ] Down-Up- [ ] Down-DownDiagram options:1. The graph has both ends going upwards.2. The graph has the left end going downwards and the right end going upwards.3. The graph has the left end going upwards and the right end going downwards.4. The graph has both ends going downwards.### D. ZerosComplete the chart for all real zeros (if any).Enter the zeros in ascending order (from left to right).| Zero | Smaller Zero | Larger Zero ||------------------------------|--------------|-------------|| Zero | [ ] | [ ] || $\omega$-Intercept (Enter an ordered pair) | [ ] | [ ] || Multiplicity | [ ] | [ ] |---This information will guide students in identifying key features of a given polynomial function, including its degree, leading coefficient, end behavior, and zeros. Each part of the exercise provides a structured approach to understanding the function's behavior and characteristics.

Answered: Image /qna-images/answer/2611e38c-d0ec-4320-80b9-bc6d628820e3.jpg

Answered: Complete the information in parts A-F…

Complete the information in parts A-F for the function f(x) = x³ + 2x². A. Degree The degree of the function is (Enter a number.)

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

ChapterP: Prerequisites

SectionP.7: A Library Of Parent Functions

Problem 47E

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Question

---

Complete the information in parts A-F for the function $ f(x) = x^3 + 2x^2 $.

### A. Degree
The degree of the function is [ ] (Enter a number.)

### B. Leading Coefficient
The sign of the leading coefficient is [ $\downarrow $ ] (select positive or negative).

### C. End Behavior
Select the image that best represents the graph's end behavior.

- [ ] Up-Up
- [ ] Up-Down
- [ ] Down-Up
- [ ] Down-Down

Diagram options:
1. The graph has both ends going upwards.
2. The graph has the left end going downwards and the right end going upwards.
3. The graph has the left end going upwards and the right end going downwards.
4. The graph has both ends going downwards.

### D. Zeros
Complete the chart for all real zeros (if any).

Enter the zeros in ascending order (from left to right).

| Zero | Smaller Zero | Larger Zero |
|------------------------------|--------------|-------------|
| Zero | [ ] | [ ] |
| $\omega$-Intercept (Enter an ordered pair) | [ ] | [ ] |
| Multiplicity | [ ] | [ ] |

---

This information will guide students in identifying key features of a given polynomial function, including its degree, leading coefficient, end behavior, and zeros. Each part of the exercise provides a structured approach to understanding the function's behavior and characteristics.

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