Find the critical points, domain endpoints, and local extreme values for the function. -x² - 6x +7, -x² + 3x-2, y = x≤1 X> 1 What is/are the critical point(s) or domain endpoint(s) where f' is undefined? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The critical point(s) or domain endpoint(s) where f' is undefined is/are at x = (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) OB. There are no critical points or domain endpoints where f' is undefined. What is/are the critical point(s) where f' is 0? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The critical point(s) where f' is 0 is/are at x = (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) O B. There are no critical points where f' is 0. From the critical point(s) and domain endpoint(s), what is/are the point(s) corresponding to local maxima? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The point(s) corresponding to the local maxima is/are (Type an ordered pair. Simplify your answer. Use integers or fractions for any numbers in the expression. Use comma to separate answers O B. There are no points corresponding to local maxima. From the critical point(s) and domain endpoint(s), what is/are the point(s) corresponding to local minima? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. needed.)
Find the critical points, domain endpoints, and local extreme values for the function. -x² - 6x +7, -x² + 3x-2, y = x≤1 X> 1 What is/are the critical point(s) or domain endpoint(s) where f' is undefined? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The critical point(s) or domain endpoint(s) where f' is undefined is/are at x = (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) OB. There are no critical points or domain endpoints where f' is undefined. What is/are the critical point(s) where f' is 0? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The critical point(s) where f' is 0 is/are at x = (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) O B. There are no critical points where f' is 0. From the critical point(s) and domain endpoint(s), what is/are the point(s) corresponding to local maxima? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The point(s) corresponding to the local maxima is/are (Type an ordered pair. Simplify your answer. Use integers or fractions for any numbers in the expression. Use comma to separate answers O B. There are no points corresponding to local maxima. From the critical point(s) and domain endpoint(s), what is/are the point(s) corresponding to local minima? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. needed.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Find the critical points, domain endpoints, and local extreme values for the function.
x = {-2²-3x+1²/
y=
-x² + 3x-2,
-x² - 6x +7, x≤ 1
X>1
What is/are the critical point(s) or domain endpoint(s) where f' is undefined? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The critical point(s) or domain endpoint(s) where f' is undefined is/are at x =
(Type an integer or a simplified fraction. Use a comma to separate answers as needed.)
O B. There are no critical points or domain endpoints where f' is undefined.
What is/are the critical point(s) where f' is 0? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
OA. The critical point(s) where f' is 0 is/are at x =
(Type an integer or a simplified fraction. Use a comma to separate answers as needed.)
O B. There are no critical points where f' is 0.
From the critical point(s) and domain endpoint(s), what is/are the point(s) corresponding to local maxima? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The point(s) corresponding to the local maxima is/are
(Type an ordered pair. Simplify your answer. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)
O B. There are no points corresponding to local maxima.
From the critical point(s) and domain endpoint(s), what is/are the point(s) corresponding to local minima? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
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