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:
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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:
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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
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