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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)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.1: Functions And Function Notation
Problem 27E: Assume that all variables represent real numbers. Determine whether each equation determines y to be...
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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: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 ? ?
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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