Find the open intervals where f (k) is concave up and where it is concave down. Enter the intervals in set notation. For example, if the function is concave up when −10 < k < 2 as well as when 4 < k < 7, then you would enter (-10, 2) U (4,7). f (k)=-6k4+ 12k2 Show your work here

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter1: Expressions And Functions
Section1.6: Relations
Problem 2BGP
Question
Find the open intervals where f (k) is concave up and where it is concave down.
Enter the intervals in set notation. For example, if the function is concave up
when −10 < k < 2 as well as when 4 < k < 7, then you would enter (-10, 2) U
(4,7).
f (k) = -6k4 + 12k2
Show your work here
Hint: To add infinity (∞), type “infinity”
concave down intervals:
concave up intervals:
Transcribed Image Text:Find the open intervals where f (k) is concave up and where it is concave down. Enter the intervals in set notation. For example, if the function is concave up when −10 < k < 2 as well as when 4 < k < 7, then you would enter (-10, 2) U (4,7). f (k) = -6k4 + 12k2 Show your work here Hint: To add infinity (∞), type “infinity” concave down intervals: concave up intervals:
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Recommended textbooks for you
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
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning