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Consider the function f(x) = 4x² - 4x4.

Consider the function f(x) = 4x² - 4x4.

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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Consider the function f(x) = 4x² - 4x4. (a) Find all critical numbers c of f. C = (b) f is concave up for x = ((-(sqrt(6))/6), ((sqrt(6)/6))) (c) f is concave down for x = (-infinity,(-(sqrt(6))/6))U((sqrt(6)/6),infinity) e (d) Using the 2nd derivative test, the local maxima of occur at. J -sqrt(2)/2,sqrt(2)/2 (e) Using the 2nd derivative test, the local minima of f occur at x = Note: Input U, infinity, and -infinity for union, ∞, and -∞, respectively. If there are multiple answers, separate them by commas. If there is no answer, input none.
Transcribed Image Text:Consider the function f(x) = 4x² - 4x4. (a) Find all critical numbers c of f. C = (b) f is concave up for x = ((-(sqrt(6))/6), ((sqrt(6)/6))) (c) f is concave down for x = (-infinity,(-(sqrt(6))/6))U((sqrt(6)/6),infinity) e (d) Using the 2nd derivative test, the local maxima of occur at. J -sqrt(2)/2,sqrt(2)/2 (e) Using the 2nd derivative test, the local minima of f occur at x = Note: Input U, infinity, and -infinity for union, ∞, and -∞, respectively. If there are multiple answers, separate them by commas. If there is no answer, input none.
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