Find the critical numbers of f(æ) = 3 ¤/5 – x and classify the extreme values. a) O No critical numbers, no extreme values. 10 b) O Critical number(s): 0, 10 3 and 5; absolute min f (0) and f (5); local max f(). 3 10 O Critical number(s): 0 and local and absolute max f 3 l; endpoint min f (0). d) O Critical number(s): 10 and 5; local and absolute max f ( 10 ; endpoint min f (5). 3 3 O Critical number(s): 0; local and absolute min f (0).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 78E
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Find the critical numbers of f(x) = 3 x5 – x and classify the extreme values.
a) O No critical numbers, no extreme values.
10
10
b) O Critical number(s): 0,
and 5; absolute min f (0) and f (5); local max f
3
3
c) O Critical number(s): 0 and
10
local and absolute max f
3
endpoint min f (0).
d) O Critical number(s):
10
and 5; local and absolute max f
10
endpoint min f (5).
3
e) O Critical number(s): 0; local and absolute min f (0).
Transcribed Image Text:Find the critical numbers of f(x) = 3 x5 – x and classify the extreme values. a) O No critical numbers, no extreme values. 10 10 b) O Critical number(s): 0, and 5; absolute min f (0) and f (5); local max f 3 3 c) O Critical number(s): 0 and 10 local and absolute max f 3 endpoint min f (0). d) O Critical number(s): 10 and 5; local and absolute max f 10 endpoint min f (5). 3 e) O Critical number(s): 0; local and absolute min f (0).
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