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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.)

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.)

Algebra and Trigonometry (6th Edition)
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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--- 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.
Transcribed Image Text:--- 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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