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9. In the following exercise: i. Identify the function's local extreme values in the given domain, and say where they occur. Which of the extreme values, if any, are absolute? f(x) = 2x - x², -∞0 < x≤2 i. ii. b. g(x) =x² - 4x + 4,1 ≤ x < ∞ ii. a. i. ii. 60 3 Local maximum: 1 at x = 1; local minimum: 0 at x = 2 Absolute maximum: 1 at x = 1; no absolute minimum Local maximum: 1 at x = 1; local minimum: 0 at x = 2 No absolute maximum; absolute minimum: 0 at x = 2 12+ 221

9. In the following exercise: i. Identify the function's local extreme values in the given domain, and say where they occur. Which of the extreme values, if any, are absolute? f(x) = 2x - x², -∞0 < x≤2 i. ii. b. g(x) =x² - 4x + 4,1 ≤ x < ∞ ii. a. i. ii. 60 3 Local maximum: 1 at x = 1; local minimum: 0 at x = 2 Absolute maximum: 1 at x = 1; no absolute minimum Local maximum: 1 at x = 1; local minimum: 0 at x = 2 No absolute maximum; absolute minimum: 0 at x = 2 12+ 221

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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9. In the following exercise: i. Identify the function's local extreme values in the given domain, and say where they occur. Which of the extreme values, if any, are absolute? f(x) = 2x - x², -∞0 < x≤2 ii. a. i. ii. b. g(x)=x²- 4x + 4, 1 ≤ x < ∞ i. ii. 60 3 Local maximum: 1 at x = 1; local minimum: 0 at x = 2 Absolute maximum: 1 at x = 1; no absolute minimum Local maximum: 1 at x = 1; local minimum: 0 at x = 2 No absolute maximum; absolute minimum: 0 at x = 2 12+ 2
Transcribed Image Text:9. In the following exercise: i. Identify the function's local extreme values in the given domain, and say where they occur. Which of the extreme values, if any, are absolute? f(x) = 2x - x², -∞0 < x≤2 ii. a. i. ii. b. g(x)=x²- 4x + 4, 1 ≤ x < ∞ i. ii. 60 3 Local maximum: 1 at x = 1; local minimum: 0 at x = 2 Absolute maximum: 1 at x = 1; no absolute minimum Local maximum: 1 at x = 1; local minimum: 0 at x = 2 No absolute maximum; absolute minimum: 0 at x = 2 12+ 2
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