8- 6- 4- 2- -4 -4- -6- -8- (a) The function f is decreasing over which intervals? Choose all that apply. O (-00 , -9) O (-7, -3) O (-9, -3) O (1, 4) O (4, 7) O (7, 0 ) (b) The function f has local maxima at which x-values? If there is more than one value, separate them with commas. (c) What is the sign of the leading coefficient of f? Select One (d) Which of the following is a possibility for the degree of f? Choose all that apply. O 4 O 5 O 6 O 7 O 8

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
ChapterP: Prerequisites
SectionP.2: Real Numbers
Problem 90E
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Below is the graph of a polynomial function f with real coefficients. Use the graph to answer the following questions about f. All local extrema of f are shown in the graph.

8+
6-
4-
2-
-6
-2
-9-
-8-
(a) The function f is decreasing over which intervals? Choose all that apply.
O (-00 , -9)
O (-7, -3) O (-9, -3) O (1, 4)
O (4, 7)
O (7, 0 )
(b) The function f has local maxima at which x-values? If there is more than one value,
separate them with commas.
(c) What is the sign of the leading coefficient of f?
Select One
(d) Which of the following is a possibility for the degree of f? Choose all that apply.
O 4
O 5
O 6
O 7
O 8
O 9
Transcribed Image Text:8+ 6- 4- 2- -6 -2 -9- -8- (a) The function f is decreasing over which intervals? Choose all that apply. O (-00 , -9) O (-7, -3) O (-9, -3) O (1, 4) O (4, 7) O (7, 0 ) (b) The function f has local maxima at which x-values? If there is more than one value, separate them with commas. (c) What is the sign of the leading coefficient of f? Select One (d) Which of the following is a possibility for the degree of f? Choose all that apply. O 4 O 5 O 6 O 7 O 8 O 9
8-
6-
4-
2-
-4
4.
4-
0,...
(a) The function f is decreasing over which intervals? Choose all that apply.
O (-00, -9)
O (-7, -3) O (-9, -3) O (1, 4)
O (4, 7)
O (7, 0 )
(b) The function f has local maxima at which x-values? If there is more than one value,
separate them with commas.
(c) What is the sign of the leading coefficient of f?
Select One
Select One
Positive
(d)
Negative
sibility for the degree of f? Choose all that apply.
Not enough information
O 6
O 8
O 9
Transcribed Image Text:8- 6- 4- 2- -4 4. 4- 0,... (a) The function f is decreasing over which intervals? Choose all that apply. O (-00, -9) O (-7, -3) O (-9, -3) O (1, 4) O (4, 7) O (7, 0 ) (b) The function f has local maxima at which x-values? If there is more than one value, separate them with commas. (c) What is the sign of the leading coefficient of f? Select One Select One Positive (d) Negative sibility for the degree of f? Choose all that apply. Not enough information O 6 O 8 O 9
Expert Solution
Step 1

Given that the graph of the polynomial.

(a) To find the function f is decreasing over which intervals:

From the graph, in the intervals, (-7,-3), (1,4), (7,), the given function's graph rises downwards.

Thus, the function f is decreasing in (-7,-3), (1,4), (7,).

(b)To find the function f has local maxima at which x-values:

From the graph, the function f attains its maximum at (-7,1), (1,0), (7,4).

Thus, the local maxima of the function f at x = -7, 1, 7.

 

 

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