navior (prediction for y as x of Signs. How many posit Poot Theorem Write o 1ist

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 54E
icon
Related questions
Question
Question f
3. Analyze the function f(x)= x +2x* +8x' +16x -9x-18. Follow the steps below; show all
work for full credit.
a. Describe the end behavior (prediction for y as x →too) of the graph. (Explain how
you know.)
b. Use Descartes' Rule of Signs. How many positive and negative real zeros might the
function have?
c. Apply the Rational Root Theorem. Write a list of potential rational roots.
d. Use synthetic division to test the list of roots. (Your test should use the original 5th-
degree polynomial until you find the first root. Test subsequent roots using the 4th
degree, then the 3rd-degree, ...)
e. Express the function rule as a product of linear factors. Each factor should be in the
form (x - a) or (x - (a+ bi)).
I f Identify the intercepts and describe the function's behavior at each x-intercept (does it
cross the axis or bounce off?).
Transcribed Image Text:3. Analyze the function f(x)= x +2x* +8x' +16x -9x-18. Follow the steps below; show all work for full credit. a. Describe the end behavior (prediction for y as x →too) of the graph. (Explain how you know.) b. Use Descartes' Rule of Signs. How many positive and negative real zeros might the function have? c. Apply the Rational Root Theorem. Write a list of potential rational roots. d. Use synthetic division to test the list of roots. (Your test should use the original 5th- degree polynomial until you find the first root. Test subsequent roots using the 4th degree, then the 3rd-degree, ...) e. Express the function rule as a product of linear factors. Each factor should be in the form (x - a) or (x - (a+ bi)). I f Identify the intercepts and describe the function's behavior at each x-intercept (does it cross the axis or bounce off?).
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning