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?
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
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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F16b2cea8-0c3e-4f3e-9496-3a94eff10413%2Fecea7e3a-ef32-421c-b03b-041848e404cc%2Fjb6hz4_processed.png&w=3840&q=75)
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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F16b2cea8-0c3e-4f3e-9496-3a94eff10413%2Fecea7e3a-ef32-421c-b03b-041848e404cc%2Fw3ml57_processed.png&w=3840&q=75)
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?
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