Note: If you are asked for an interval, give your answer in interval notation, help (intervals) Consider the function f(x)=3+4.5x² - 12x-1 and its derivatives: f'(x)=3x²+9x - 12, f" (x) = 6x +9. a) Determine the x-interval(s) on which f is concave up and concave down. f is concave up on: f is concave down on: b) What are the (x, y) coordinates of the inflection points of f? Enter your answer as an (x,y) coordinate, e.g. (91,-13), and separate multiple answers by commas. f has inflection pts at: The figure below shows a function f(x). At exactly two of the labeled points, f'(x) = 0. At all of the labeled points, f" (x) = 0. Select the correct signs for each of f, f' and f" at each marked point. и > Point A f ? f' ? f" ? > 0 ? ? ? B > ? ✓ ? ? ? D > > ? ? < ༤. ? > > E ༤ ? ?
Note: If you are asked for an interval, give your answer in interval notation, help (intervals) Consider the function f(x)=3+4.5x² - 12x-1 and its derivatives: f'(x)=3x²+9x - 12, f" (x) = 6x +9. a) Determine the x-interval(s) on which f is concave up and concave down. f is concave up on: f is concave down on: b) What are the (x, y) coordinates of the inflection points of f? Enter your answer as an (x,y) coordinate, e.g. (91,-13), and separate multiple answers by commas. f has inflection pts at: The figure below shows a function f(x). At exactly two of the labeled points, f'(x) = 0. At all of the labeled points, f" (x) = 0. Select the correct signs for each of f, f' and f" at each marked point. и > Point A f ? f' ? f" ? > 0 ? ? ? B > ? ✓ ? ? ? D > > ? ? < ༤. ? > > E ༤ ? ?
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 82E
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solve it and give the right answer
Transcribed Image Text:Note: If you are asked for an interval, give your answer in interval notation, help (intervals)
Consider the function
f(x)=3+4.5x² - 12x-1
and its derivatives:
f'(x)=3x²+9x - 12,
f" (x) = 6x +9.
a) Determine the x-interval(s) on which f is concave up and concave down.
f is concave up on:
f is concave down on:
b) What are the (x, y) coordinates of the inflection points of f?
Enter your answer as an (x,y) coordinate, e.g. (91,-13), and separate multiple answers by commas.
f has inflection pts at:
Transcribed Image Text:The figure below shows a function f(x). At exactly two of the labeled points, f'(x) = 0. At all of the labeled points, f" (x) = 0.
Select the correct signs for each of f, f' and f" at each marked point.
и
>
Point
A
f
?
f'
?
f"
?
>
0
?
?
?
B
>
?
✓ ?
?
?
D
>
>
?
?
<
༤.
?
>
>
E
༤
?
?
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