Complete parts a through c for the given function. f(x)=-4x²+3x+1; [-3,3] a. Locate the critical point(s) of f. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. 3 The critical point(s) is (are) at x= 8 (Simplify your answer. Use a comma to separate answers as needed.) B. The function does not have a critical point. b. Use the First Derivative Test to locate the local maximum and minimum values. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Simplify your answer. Use a comma to separate answers as needed.) OA. The local minimum/minima is/are at x= and the local maximum/maxima is/are at x= OB. The local minimum/minima is/are at x= | OC. The local maximum/maxima is/are at x= OD. There is no local minimum and there is no local maximum.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
Question
Complete parts a through c for the given function.
f(x)=-4x²+3x+1; [-3,3]
a. Locate the critical point(s) of f. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A.
3
The critical point(s) is (are) at x= 8
(Simplify your answer. Use a comma to separate answers as needed.)
B. The function does not have a critical point.
b. Use the First Derivative Test to locate the local maximum and minimum values. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
(Simplify your answer. Use a comma to separate answers as needed.)
OA. The local minimum/minima is/are at x=
and the local maximum/maxima is/are at x=
OB. The local minimum/minima is/are at x= |
OC. The local maximum/maxima is/are at x=
OD. There is no local minimum and there is no local maximum.
Transcribed Image Text:Complete parts a through c for the given function. f(x)=-4x²+3x+1; [-3,3] a. Locate the critical point(s) of f. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. 3 The critical point(s) is (are) at x= 8 (Simplify your answer. Use a comma to separate answers as needed.) B. The function does not have a critical point. b. Use the First Derivative Test to locate the local maximum and minimum values. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Simplify your answer. Use a comma to separate answers as needed.) OA. The local minimum/minima is/are at x= and the local maximum/maxima is/are at x= OB. The local minimum/minima is/are at x= | OC. The local maximum/maxima is/are at x= OD. There is no local minimum and there is no local maximum.
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