Show all work and explain all details 1. Given f(x) = x' – 4x – 4x + 16 and g(x)=x - x' – 3x +5x - 2. Answer the following questions for each function and sketch their graphs. a) List all possible rational zeros of the given function b) Use Descartes' Rule of Signs to determine the possible number of positive and negative real zeros. State clearly how you computed the number of the changes of the sings and what you use to determine the possible number of negative zeros. c) Find one rational zero and use long division or synthetic division to find all other real roots. Show all work. |

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,...
icon
Related questions
Question
Show all work and explain all details
1. Given f(x) = x' – 4x – 4x + 16 and g(x)=x – x' - 3x +5x -
2. Answer the following questions for each function and
sketch their graphs.
a) List all possible rational zeros of the given function
b) Use Descartes' Rule of Signs to determine the possible
number of positive and negative real zeros. State clearly
how you computed the number of the changes of the
sings and what you use to determine the possible number
of negative zeros.
c) Find one rational zero and use long division or synthetic
division to find all other real roots. Show all work.
|
d) Find y-intercepts.
e) Find end behavior. Explain how you do it.
f) Find additional points on each subinterval.
g) Graph the given function. Mark clearly all important
points on axis.
Transcribed Image Text:Show all work and explain all details 1. Given f(x) = x' – 4x – 4x + 16 and g(x)=x – x' - 3x +5x - 2. Answer the following questions for each function and sketch their graphs. a) List all possible rational zeros of the given function b) Use Descartes' Rule of Signs to determine the possible number of positive and negative real zeros. State clearly how you computed the number of the changes of the sings and what you use to determine the possible number of negative zeros. c) Find one rational zero and use long division or synthetic division to find all other real roots. Show all work. | d) Find y-intercepts. e) Find end behavior. Explain how you do it. f) Find additional points on each subinterval. g) Graph the given function. Mark clearly all important points on axis.
Expert Solution
steps

Step by step

Solved in 7 steps with 6 images

Blurred answer
Similar questions
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education