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Graph the given polynomial function. Be sure to show all of your work, test the intervals on a number line, and clearly label your intercepts. 2) y = − x(x + 2)³(x − 1)²

Graph the given polynomial function. Be sure to show all of your work, test the intervals on a number line, and clearly label your intercepts. 2) y = − x(x + 2)³(x − 1)²

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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**Instructions for Graphing Polynomial Functions** Graph the given polynomial function. Be sure to show all of your work, test the intervals on a number line, and clearly label your intercepts. ### Polynomial Functions to Graph: 2) \( y = -x(x + 2)^3(x - 1)^2 \) 3) \( y = x^3 - x^2 - 9x + 9 \) **Instructions:** - **Finding Intercepts:** Start by finding the x-intercepts and y-intercept. - **Testing Intervals:** Use a number line to test intervals and determine the behavior of the function. - **Graphing:** Plot the intercepts and sketch the graph using the information from testing intervals. - **Labeling:** Clearly label all intercepts on the graph. Include any points where the graph changes direction or crosses the axis. Explore and analyze each function's graph to better understand its behavior and characteristics.
Transcribed Image Text:**Instructions for Graphing Polynomial Functions** Graph the given polynomial function. Be sure to show all of your work, test the intervals on a number line, and clearly label your intercepts. ### Polynomial Functions to Graph: 2) \( y = -x(x + 2)^3(x - 1)^2 \) 3) \( y = x^3 - x^2 - 9x + 9 \) **Instructions:** - **Finding Intercepts:** Start by finding the x-intercepts and y-intercept. - **Testing Intervals:** Use a number line to test intervals and determine the behavior of the function. - **Graphing:** Plot the intercepts and sketch the graph using the information from testing intervals. - **Labeling:** Clearly label all intercepts on the graph. Include any points where the graph changes direction or crosses the axis. Explore and analyze each function's graph to better understand its behavior and characteristics.
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