Use the graph of the function f' to estimate the intervals on which the function fis (a) increasing or (b) decreasing. Also, (c) estimate the x-coordinates of all local extreme values. (Assume that the function f is continuous, even at the points where f' is undefined.) The domain off' is [0,4)U(4,6]. 0: -10- (a) Where is the function f increasing? A. [4,00) B. [2,4) and (4.6) C. (-∞,1] and [3,4) and (5,00] D. (-004) E. [2.4) and (4,00) OF. [0,1] and [3.4) and (5.6] OH. (4.5) G. [1,3] and (4,5] (b) Where is the function f decreasing? A. [0.1] and [3,4) and (5.6) B. (-0,4] C. [4,00) D. (-∞,1] and [3,4) and (5,00] E. [1,3] and (4,5) OF. [2,4) and (4.6) G. (4,5) OH. [2,4) and (4,00) (c) What are the approximate x-coordinates of all local extreme values of the function ? A. The graph of f has a local minimum at x=2 and a local maximum at x = 4. B. The graph off has local maxima at x = 1, x= 3, and x = 5. C. The graph of f has local maxima at x = 3 and x=5 and a local minimum at x = 1. D. The graph of f has local maxima at x = 1 and x=4 and local minima at x = 3 and x = 5. E. The graph off has a local minimum at x=2 and a local minimum at x = 4. F. The graph of f has local minima at x = 1, x=3, and x = 5. y=r(0) a

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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Could I please have help with part c? Thank you.

Use the graph of the function f' to estimate the intervals on which the function fis (a)
increasing or (b) decreasing. Also, (c) estimate the x-coordinates of all local extreme
values. (Assume that the function fis continuous, even at the points where f' is
undefined.) The domain of f' is (0,4)U(4,6].
10-
y=r(x)
0-
-5-
-101
(a) Where is the function fincreasing?
A. [4,00)
B. [2,4) and (4,6)
C. (-00,1] and [3,4) and (5,00]
D. (-00,4]
E. [2.4) and (4,00)
OF. [0,1] and [3,4) and (5,6]
OH. (4,5)
G. [1,3] and (4,5)
(b) Where is the function f decreasing?
A. [0.1] and [3,4) and (5,6]
В. (- оо,4]
C. (4,00)
OD. (- 0,1] and [3,4) and (5,00]
E. [1,3] and (4,5]
F. [2,4) and (4,6)
G. (4,5]
OH. [2,4) and (4, 00)
(c) What are the approximate x-coordinates of all local extreme values of the function f?
A. The graph of f has a local minimum at x =2 and a local maximum at x= 4.
B. The graph of f has local maxima at x = 1, x = 3, and x= 5.
C. The graph of f has local maxima at x = 3 and x =5 and a local minimum at x = 1.
D. The graph of f has local maxima at x = 1 and x =4 and local minima at x = 3 and x = 5.
E. The graph of f has a local minimum at x=2 and a local minimum at x= 4.
OF. The graph of f has local minima at x = 1, x= 3, and x= 5.
O O O O
Transcribed Image Text:Use the graph of the function f' to estimate the intervals on which the function fis (a) increasing or (b) decreasing. Also, (c) estimate the x-coordinates of all local extreme values. (Assume that the function fis continuous, even at the points where f' is undefined.) The domain of f' is (0,4)U(4,6]. 10- y=r(x) 0- -5- -101 (a) Where is the function fincreasing? A. [4,00) B. [2,4) and (4,6) C. (-00,1] and [3,4) and (5,00] D. (-00,4] E. [2.4) and (4,00) OF. [0,1] and [3,4) and (5,6] OH. (4,5) G. [1,3] and (4,5) (b) Where is the function f decreasing? A. [0.1] and [3,4) and (5,6] В. (- оо,4] C. (4,00) OD. (- 0,1] and [3,4) and (5,00] E. [1,3] and (4,5] F. [2,4) and (4,6) G. (4,5] OH. [2,4) and (4, 00) (c) What are the approximate x-coordinates of all local extreme values of the function f? A. The graph of f has a local minimum at x =2 and a local maximum at x= 4. B. The graph of f has local maxima at x = 1, x = 3, and x= 5. C. The graph of f has local maxima at x = 3 and x =5 and a local minimum at x = 1. D. The graph of f has local maxima at x = 1 and x =4 and local minima at x = 3 and x = 5. E. The graph of f has a local minimum at x=2 and a local minimum at x= 4. OF. The graph of f has local minima at x = 1, x= 3, and x= 5. O O O O
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