Use the derivative of the function shown below to determine the open intervals in which the function is increasing or decreasing and any relative extrema, and the x-values at which the extrema occur. Increasing: Decreasing: f(x)= a) Find all the critical values for the given function. If there are not any critical values, record DNE in the answer box shown below. If there are more than one, list them separated by commas. b) Record the open intervals in which the function is increasing or decreasing. If there are more than one intervals in which a function is increasing or decreasing, use a comma to separate the intervals (e.g., (-5,7),(-3,5)). If there are no intervals, record DNE in the answer box. Be sure to use oo (two letter o's and not zeros) for infinity and -oo for negative infinity. Relative Maximum: = 3 -x² + 21x - 8 2 2 c) Record the relative maximum and minimum of the function and the x-values in which they occur. If ther are more than one, list them separated commas. If there are none, record DNE in the answer box. x-value(s) where the relative max occur: x-value(s) where the relative min occur: Relative Minimum:
Use the derivative of the function shown below to determine the open intervals in which the function is increasing or decreasing and any relative extrema, and the x-values at which the extrema occur. Increasing: Decreasing: f(x)= a) Find all the critical values for the given function. If there are not any critical values, record DNE in the answer box shown below. If there are more than one, list them separated by commas. b) Record the open intervals in which the function is increasing or decreasing. If there are more than one intervals in which a function is increasing or decreasing, use a comma to separate the intervals (e.g., (-5,7),(-3,5)). If there are no intervals, record DNE in the answer box. Be sure to use oo (two letter o's and not zeros) for infinity and -oo for negative infinity. Relative Maximum: = 3 -x² + 21x - 8 2 2 c) Record the relative maximum and minimum of the function and the x-values in which they occur. If ther are more than one, list them separated commas. If there are none, record DNE in the answer box. x-value(s) where the relative max occur: x-value(s) where the relative min occur: Relative Minimum:
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
Related questions
Question
Transcribed Image Text:Use the derivative of the function shown below to determine the open intervals in which the function is
increasing or decreasing and any relative extrema, and the x-values at which the extrema occur.
Increasing:
Decreasing:
f(x)=
a) Find all the critical values for the given function. If there are not any critical values, record DNE in the
answer box shown below. If there are more than one, list them separated by commas.
Relative Maximum:
=
b) Record the open intervals in which the function is increasing or decreasing. If there are more than one
intervals in which a function is increasing or decreasing, use a comma to separate the intervals (e.g.,
(-5,7),(-3,5)). If there are no intervals, record DNE in the answer box. Be sure to use oo (two letter o's and
not zeros) for infinity and -oo for negative infinity.
-
x-value(s) where the relative min occur:
Relative Minimum:
3
2
-x² +21x - 8
c) Record the relative maximum and minimum of the function and the x-values in which they occur. there
are more than one, list them separated by commas. If there are none, record DNE in the answer box.
x-value(s) where the relative max occur:
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Step 1: Introduce to the given information
VIEWStep 2: Determining the first derivative of the given function
VIEWStep 3: (a) Determining the critical points
VIEWStep 4: (b) Determining the open intervals in which function is increasing or decreasing
VIEWStep 5: (c) Determining the relative maximum or relative minimum of the function
VIEWSolution
VIEW
Trending now
This is a popular solution!
Step by step
Solved in 6 steps with 18 images
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question
not all questions are answered, and are incorrect
Solution
by Bartleby ExpertRecommended textbooks for you
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
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
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
