5. Graph the function y x22x-3 by identifying the domain and any symmetries, finding the derivatives y' and y", finding the critical points and identifying the function's behavior at each one, finding where the curve is increasing and where it is decreasing, finding the points of inflection, determining the concavity of the curve, identifying any asymptotes, and plotting any key points such as intercepts, critical points, and inflection points. Then find coordinates of absolute extreme points, if any Find the domain of the function The domain is (Type your answer in interval notation.) Identify any symmetries. Choose the correct answer below A. The function is an odd function that is symmetric about the y-axis O B. The function is an even function that is symmetric about the y-axis. O C. The function is an even function that is symmetric about the origin. D. The function is an odd function that is symmetric about the origin E. The function is neither even nor odd. Find the derivative y'. У' 3 Find the second derivative y". у'%3 Identify any critical points. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The critical point(s) occur(s) at x = (Use a comma to separate answers as needed.) O B. There are no critical points. Identify any local minima. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The local minimum/minima is/are located at (Type an ordered pair. Use a comma to separate answers as needed.) B. There are no local minima. Identify any local maxima. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The local maximum/maxima is/are located at (Type an ordered pair. Use a comma to separate answers as needed.) B. There are no local maxima. Identify where the curve is increasing or decreasing. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. A. The curve does not increase and decreases on the open interval(s) (Type your answer in interval notation. Use a comma to separate answers as needed.) O B. The curve increases on the open interval(s) and decreases on the open interval(s) (Type your answers in interval notation. Use a comma to separate answers as needed.) O C. The curve increases on the open interval(s) and does not decrease (Type your answer in interval notation. Use a comma to separate answers as needed.) O D. The curve neither increases nor decreases. 5. Graph the function y x22x-3 by identifying the domain and any symmetries, finding the derivatives y' and y", finding the critical points and identifying the function's behavior at each one, finding where the curve is increasing and where it is decreasing, finding the points of inflection, determining the concavity of the curve, identifying any asymptotes, and plotting any key points such as intercepts, critical points, and inflection points. Then find coordinates of absolute extreme points, if any Find the domain of the function The domain is (Type your answer in interval notation.) Identify any symmetries. Choose the correct answer below A. The function is an odd function that is symmetric about the y-axis O B. The function is an even function that is symmetric about the y-axis. O C. The function is an even function that is symmetric about the origin. D. The function is an odd function that is symmetric about the origin E. The function is neither even nor odd. Find the derivative y'. У' 3 Find the second derivative y". у'%3 Identify any critical points. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The critical point(s) occur(s) at x = (Use a comma to separate answers as needed.) O B. There are no critical points. Identify any local minima. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The local minimum/minima is/are located at (Type an ordered pair. Use a comma to separate answers as needed.) B. There are no local minima. Identify any local maxima. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The local maximum/maxima is/are located at (Type an ordered pair. Use a comma to separate answers as needed.) B. There are no local maxima. Identify where the curve is increasing or decreasing. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. A. The curve does not increase and decreases on the open interval(s) (Type your answer in interval notation. Use a comma to separate answers as needed.) O B. The curve increases on the open interval(s) and decreases on the open interval(s) (Type your answers in interval notation. Use a comma to separate answers as needed.) O C. The curve increases on the open interval(s) and does not decrease (Type your answer in interval notation. Use a comma to separate answers as needed.) O D. The curve neither increases nor decreases.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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5.
Graph the function y x22x-3 by identifying the domain and any symmetries, finding the derivatives y' and y", finding the critical points and identifying the function's behavior at each one, finding where the curve is increasing and where it is decreasing, finding the points of inflection, determining the
concavity of the curve, identifying any asymptotes, and plotting any key points such as intercepts, critical points, and inflection points. Then find coordinates of absolute extreme points, if any
Find the domain of the function
The domain is
(Type your answer in interval notation.)
Identify any symmetries. Choose the correct answer below
A. The function is an odd function that is symmetric about the y-axis
O B. The function is an even function that is symmetric about the y-axis.
O C. The function is an even function that is symmetric about the origin.
D. The function is an odd function that is symmetric about the origin
E. The function is neither even nor odd.
Find the derivative y'.
У' 3
Find the second derivative y".
у'%3
Identify any critical points. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The critical point(s) occur(s) at x =
(Use a comma to separate answers as needed.)
O B. There are no critical points.
Identify any local minima. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The local minimum/minima is/are located at
(Type an ordered pair. Use a comma to separate answers as needed.)
B. There are no local minima.
Identify any local maxima. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The local maximum/maxima is/are located at
(Type an ordered pair. Use a comma to separate answers as needed.)
B. There are no local maxima.
Identify where the curve is increasing or decreasing. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
A. The curve does not increase and decreases on the open interval(s)
(Type your answer in interval notation. Use a comma to separate answers as needed.)
O B. The curve increases on the open interval(s)
and decreases on the open interval(s)
(Type your answers in interval notation. Use a comma to separate answers as needed.)
O C. The curve increases on the open interval(s)
and does not decrease
(Type your answer in interval notation. Use a comma to separate answers as needed.)
O D. The curve neither increases nor decreases.
Transcribed Image Text:5. Graph the function y x22x-3 by identifying the domain and any symmetries, finding the derivatives y' and y", finding the critical points and identifying the function's behavior at each one, finding where the curve is increasing and where it is decreasing, finding the points of inflection, determining the concavity of the curve, identifying any asymptotes, and plotting any key points such as intercepts, critical points, and inflection points. Then find coordinates of absolute extreme points, if any Find the domain of the function The domain is (Type your answer in interval notation.) Identify any symmetries. Choose the correct answer below A. The function is an odd function that is symmetric about the y-axis O B. The function is an even function that is symmetric about the y-axis. O C. The function is an even function that is symmetric about the origin. D. The function is an odd function that is symmetric about the origin E. The function is neither even nor odd. Find the derivative y'. У' 3 Find the second derivative y". у'%3 Identify any critical points. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The critical point(s) occur(s) at x = (Use a comma to separate answers as needed.) O B. There are no critical points. Identify any local minima. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The local minimum/minima is/are located at (Type an ordered pair. Use a comma to separate answers as needed.) B. There are no local minima. Identify any local maxima. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The local maximum/maxima is/are located at (Type an ordered pair. Use a comma to separate answers as needed.) B. There are no local maxima. Identify where the curve is increasing or decreasing. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. A. The curve does not increase and decreases on the open interval(s) (Type your answer in interval notation. Use a comma to separate answers as needed.) O B. The curve increases on the open interval(s) and decreases on the open interval(s) (Type your answers in interval notation. Use a comma to separate answers as needed.) O C. The curve increases on the open interval(s) and does not decrease (Type your answer in interval notation. Use a comma to separate answers as needed.) O D. The curve neither increases nor decreases.
5.
Graph the function y x22x-3 by identifying the domain and any symmetries, finding the derivatives y' and y", finding the critical points and identifying the function's behavior at each one, finding where the curve is increasing and where it is decreasing, finding the points of inflection, determining the
concavity of the curve, identifying any asymptotes, and plotting any key points such as intercepts, critical points, and inflection points. Then find coordinates of absolute extreme points, if any
Find the domain of the function
The domain is
(Type your answer in interval notation.)
Identify any symmetries. Choose the correct answer below
A. The function is an odd function that is symmetric about the y-axis
O B. The function is an even function that is symmetric about the y-axis.
O C. The function is an even function that is symmetric about the origin.
D. The function is an odd function that is symmetric about the origin
E. The function is neither even nor odd.
Find the derivative y'.
У' 3
Find the second derivative y".
у'%3
Identify any critical points. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The critical point(s) occur(s) at x =
(Use a comma to separate answers as needed.)
O B. There are no critical points.
Identify any local minima. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The local minimum/minima is/are located at
(Type an ordered pair. Use a comma to separate answers as needed.)
B. There are no local minima.
Identify any local maxima. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The local maximum/maxima is/are located at
(Type an ordered pair. Use a comma to separate answers as needed.)
B. There are no local maxima.
Identify where the curve is increasing or decreasing. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
A. The curve does not increase and decreases on the open interval(s)
(Type your answer in interval notation. Use a comma to separate answers as needed.)
O B. The curve increases on the open interval(s)
and decreases on the open interval(s)
(Type your answers in interval notation. Use a comma to separate answers as needed.)
O C. The curve increases on the open interval(s)
and does not decrease
(Type your answer in interval notation. Use a comma to separate answers as needed.)
O D. The curve neither increases nor decreases.
Transcribed Image Text:5. Graph the function y x22x-3 by identifying the domain and any symmetries, finding the derivatives y' and y", finding the critical points and identifying the function's behavior at each one, finding where the curve is increasing and where it is decreasing, finding the points of inflection, determining the concavity of the curve, identifying any asymptotes, and plotting any key points such as intercepts, critical points, and inflection points. Then find coordinates of absolute extreme points, if any Find the domain of the function The domain is (Type your answer in interval notation.) Identify any symmetries. Choose the correct answer below A. The function is an odd function that is symmetric about the y-axis O B. The function is an even function that is symmetric about the y-axis. O C. The function is an even function that is symmetric about the origin. D. The function is an odd function that is symmetric about the origin E. The function is neither even nor odd. Find the derivative y'. У' 3 Find the second derivative y". у'%3 Identify any critical points. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The critical point(s) occur(s) at x = (Use a comma to separate answers as needed.) O B. There are no critical points. Identify any local minima. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The local minimum/minima is/are located at (Type an ordered pair. Use a comma to separate answers as needed.) B. There are no local minima. Identify any local maxima. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The local maximum/maxima is/are located at (Type an ordered pair. Use a comma to separate answers as needed.) B. There are no local maxima. Identify where the curve is increasing or decreasing. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. A. The curve does not increase and decreases on the open interval(s) (Type your answer in interval notation. Use a comma to separate answers as needed.) O B. The curve increases on the open interval(s) and decreases on the open interval(s) (Type your answers in interval notation. Use a comma to separate answers as needed.) O C. The curve increases on the open interval(s) and does not decrease (Type your answer in interval notation. Use a comma to separate answers as needed.) O D. The curve neither increases nor decreases.
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