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Write the letter of the correct 1) which of the following is a critical point of the function f(x)-cos x a. C. It 2. b. d. the function EIN

Write the letter of the correct 1) which of the following is a critical point of the function f(x)-cos x a. C. It 2. b. d. the function EIN

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 56E
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IPLE CHOICE : Write the letter of the correct answer. 1) Which of the following is a critical point of the function f(x)- cos A 11 a. 2 с. b. hanges d. 2) Which of the following is the maximum point of the funetion 2 f(x) = x2 - x on the interval -2, 2|1. ( 2, 2) (-2, 6 ) Pietes a. (2, 6) (4, -4) 3) Given the interval| -2, 2| for the function f(x) = -8x2 + 2x' ; at which С. es b. d. value/s of x will the minimum point occur ? C. -2 a. b. d. 4) The table shows the functional values forf(x) = sin x. What are the extrema of the given function ? (-,-1) ; ( 0, 0) a. 2. 2. 2,1);(n, 0 ) (π, Ο ) ; ( 0, 0) (--1);,1) sin x -1 1 b. 2. с. 5) Which of the given statements is true about the continuous function: f(x) = x² , defined on R. d. It has a minimum point at the origin It has a maximum valuc The function is not differentiable (0,0) is the maximum point a. b. C. d.
Transcribed Image Text:IPLE CHOICE : Write the letter of the correct answer. 1) Which of the following is a critical point of the function f(x)- cos A 11 a. 2 с. b. hanges d. 2) Which of the following is the maximum point of the funetion 2 f(x) = x2 - x on the interval -2, 2|1. ( 2, 2) (-2, 6 ) Pietes a. (2, 6) (4, -4) 3) Given the interval| -2, 2| for the function f(x) = -8x2 + 2x' ; at which С. es b. d. value/s of x will the minimum point occur ? C. -2 a. b. d. 4) The table shows the functional values forf(x) = sin x. What are the extrema of the given function ? (-,-1) ; ( 0, 0) a. 2. 2. 2,1);(n, 0 ) (π, Ο ) ; ( 0, 0) (--1);,1) sin x -1 1 b. 2. с. 5) Which of the given statements is true about the continuous function: f(x) = x² , defined on R. d. It has a minimum point at the origin It has a maximum valuc The function is not differentiable (0,0) is the maximum point a. b. C. d.
ACTIVITY 1: 1) W Practice ! Directions : Find the extrema of the following fuctions on the given interval. Determine the value of x at which the extrema occur. 1) f (x) = -3x² + 4x3 +3 - 6x on [-1, 1 ] 2) f ( x ) = - cos x on 211 3) f ( x) [-1, 2] on x2 +2 ACTIVITY 2: Keep Practicing ! Nar Answer the following problems: 1) Find the number in the interval | -2, 2| so that the difference of the number from its square is maximized. 2) Determine whether the function f (x) = sin x will have extrema (maximum and minimum) on the interval [-,1 %3D
Transcribed Image Text:ACTIVITY 1: 1) W Practice ! Directions : Find the extrema of the following fuctions on the given interval. Determine the value of x at which the extrema occur. 1) f (x) = -3x² + 4x3 +3 - 6x on [-1, 1 ] 2) f ( x ) = - cos x on 211 3) f ( x) [-1, 2] on x2 +2 ACTIVITY 2: Keep Practicing ! Nar Answer the following problems: 1) Find the number in the interval | -2, 2| so that the difference of the number from its square is maximized. 2) Determine whether the function f (x) = sin x will have extrema (maximum and minimum) on the interval [-,1 %3D
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