In Exercises 87-98, for each polynomial function, find a. The end behavior b. The y-intercept of its graph c. The x-intercept(s) of the graph of the function and the multiplicity of each of the real zeros d. Symmetry of the graph of the function, if any e. The intervals where the function is positive or negative Use this information to sketch a graph of the function. Factor first if the expression is not in factored form. 87. f(x)= x²(x - 1) 89. f(x) = (x - 2)²(x + 2) 88. h(x) = x(x - 2)² 90. g(x) = (x + 1)(x - 2)²

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
100%

Number 93

In Exercises 87-98, for each polynomial function, find
a. The end behavior
b. The y-intercept of its graph
c. The x-intercept(s) of the graph of the function and the multiplicity of each of the real zeros
d. Symmetry of the graph of the function, if any
e. The intervals where the function is positive or negative
Use this information to sketch a graph of the function. Factor first if the expression is not in
factored form.
87. f(x) = x²(x - 1)
89. f(x) = (x - 2)²(x + 2)
91. g(x) = (x + 1)² (x − 2)(x + 3)
93. g(x)=2(x + 1)²(x - 3)²
88. h(x) = x(x - 2)²
90. g(x) = (x + 1)(x - 2)²
92. f(x) = (x - 1)(x + 2)²(x + 1)
94. f(x) = -3(x - 2)²(x + 1)²
Transcribed Image Text:In Exercises 87-98, for each polynomial function, find a. The end behavior b. The y-intercept of its graph c. The x-intercept(s) of the graph of the function and the multiplicity of each of the real zeros d. Symmetry of the graph of the function, if any e. The intervals where the function is positive or negative Use this information to sketch a graph of the function. Factor first if the expression is not in factored form. 87. f(x) = x²(x - 1) 89. f(x) = (x - 2)²(x + 2) 91. g(x) = (x + 1)² (x − 2)(x + 3) 93. g(x)=2(x + 1)²(x - 3)² 88. h(x) = x(x - 2)² 90. g(x) = (x + 1)(x - 2)² 92. f(x) = (x - 1)(x + 2)²(x + 1) 94. f(x) = -3(x - 2)²(x + 1)²
Expert Solution
steps

Step by step

Solved in 9 steps with 39 images

Blurred answer
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