Complete the problems in their entirety. Show all necessary work. 1. Let f(x) = x³ + 3x² - x - 3= (x − 1)(x + 1)(x+3). (a) The following is the graph of f(x). Use this to answer the following questions. i. On which interval(s) is f(x) > 0? ii. On which interval(s) is f(x) < 0? (b) Use algebra (meaning a sign diagram/number line) to answer the following. i. On which interval(s) is ii. On which interval(s) is (x − 1)(x + 1)(x+3) > 0? (x - 1)(x + 1)(x + 3) <0?

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Functions
Section8.4: More Quadratic Functions And Applications
Problem 55PS
icon
Related questions
Question

Must show all the work step by step. 

2. Let g(x)
=
x + 1
x² - 4
(a) The following is the graph of g(x). Use this to answer the following questions.
i. On which interval(s) is g(x) > 0?
ii. On which interval(s) is g(x) <0?
(b) Use algebra (meaning a sign diagram/number line) to answer the following.
i. On which interval(s) is
x + 1
x²4
ii. On which interval(s) is
> 0?
x+1
x² - 4
<0?
Transcribed Image Text:2. Let g(x) = x + 1 x² - 4 (a) The following is the graph of g(x). Use this to answer the following questions. i. On which interval(s) is g(x) > 0? ii. On which interval(s) is g(x) <0? (b) Use algebra (meaning a sign diagram/number line) to answer the following. i. On which interval(s) is x + 1 x²4 ii. On which interval(s) is > 0? x+1 x² - 4 <0?
Complete the problems in their entirety. Show all necessary work.
1. Let f(x) = x³ + 3x² - x - 3= (x − 1)(x + 1)(x+3).
(a) The following is the graph of f(x). Use this to answer the following questions.
i. On which interval(s) is f(x) > 0?
ii. On which interval(s) is f(x) <0?
(b) Use algebra (meaning a sign diagram/number line) to answer the following.
i. On which interval(s) is
ii. On which interval(s) is
(x - 1) (x + 1) (x+3) >0?
(x - 1)(x + 1) (x + 3) <0?
Transcribed Image Text:Complete the problems in their entirety. Show all necessary work. 1. Let f(x) = x³ + 3x² - x - 3= (x − 1)(x + 1)(x+3). (a) The following is the graph of f(x). Use this to answer the following questions. i. On which interval(s) is f(x) > 0? ii. On which interval(s) is f(x) <0? (b) Use algebra (meaning a sign diagram/number line) to answer the following. i. On which interval(s) is ii. On which interval(s) is (x - 1) (x + 1) (x+3) >0? (x - 1)(x + 1) (x + 3) <0?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 15 images

Blurred answer
Recommended textbooks for you
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell