9. In the following exercise: i. Identify the function's local extreme values in the given domain, and say where they occur. ii. Which of the extreme values, if any, are absolute? a. f(x) = 2x - x², -∞0 < x≤ 2 b. g(x) = x² - 4x + 4,1 ≤ x < 0 c. f(t) = 12t - t³, -3 ≤ t < 00 - 2x² + 4x, 0≤x <∞ x3 d. h(x) = 3 == e. f(x) = √25x², -5 ≤ x ≤ 5 f. g(x) = 0 ≤ x < 1 x-2 x²-1'

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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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.
ii.
Which of the extreme values, if any, are absolute?
a. f(x) = 2x - x², -∞0 < x≤ 2
b. g(x) = x² - 4x + 4, 1 ≤ x < 0
c. f(t) = 12t - t³, -3 ≤ t < 00
x3
2x² + 4x, 0≤x <∞
d.
h(x):
3
e. f(x) = √25 x², -5 ≤ x ≤ 5
f. g(x) =
x-2
x²-1
0≤x≤ 1
=
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. ii. Which of the extreme values, if any, are absolute? a. f(x) = 2x - x², -∞0 < x≤ 2 b. g(x) = x² - 4x + 4, 1 ≤ x < 0 c. f(t) = 12t - t³, -3 ≤ t < 00 x3 2x² + 4x, 0≤x <∞ d. h(x): 3 e. f(x) = √25 x², -5 ≤ x ≤ 5 f. g(x) = x-2 x²-1 0≤x≤ 1 =
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Follow-up Question
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?
ii.
x3
d.
h(x) = - 2x² + 4x, 0≤ x < ∞
3
e. f(x) = √25 - x², -5 ≤ x ≤5
f. g(x) =
x-2
x²-1'
0 < x < 1
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? ii. x3 d. h(x) = - 2x² + 4x, 0≤ x < ∞ 3 e. f(x) = √25 - x², -5 ≤ x ≤5 f. g(x) = x-2 x²-1' 0 < x < 1
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