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16z Consider the function f(x) = x°e f(x) has two inflection points at x =C and x = D with C

16z Consider the function f(x) = x°e f(x) has two inflection points at x =C and x = D with C

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Functions And Their Graphs
Section2.3: Analyzing Graphs Of Functions
Problem 4ECP
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Consider the function f(x) = a"e 2 16z f(x) has two inflection points at x = C and x = D with C<D where C is and D is Finally for each of the following intervals, tell whether f(x) is concave up or concave down (- 00, C): Concave Up (C, D): Concave Down (D, 0) Concave Up
Transcribed Image Text:Consider the function f(x) = a"e 2 16z f(x) has two inflection points at x = C and x = D with C<D where C is and D is Finally for each of the following intervals, tell whether f(x) is concave up or concave down (- 00, C): Concave Up (C, D): Concave Down (D, 0) Concave Up
Consider the function f(x) = x²e®. For this function there are three important open intervals: (– 0, A), (A, B), and (B, 0) where A and B are the critical numbers. Find A and B For each of the following intervals, tell whether f(x) is increasing or decreasing. (- 00, A): Increasing (A, B): Decreasing (B, 0) Increasing
Transcribed Image Text:Consider the function f(x) = x²e®. For this function there are three important open intervals: (– 0, A), (A, B), and (B, 0) where A and B are the critical numbers. Find A and B For each of the following intervals, tell whether f(x) is increasing or decreasing. (- 00, A): Increasing (A, B): Decreasing (B, 0) Increasing
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