lay De recoraded Vià ány device capable of producing a digital video file, or can be recorded directly in this assignment using your computer's webcam. Consider the function f(x) = x- 2 2(x-3)x² 2x(a - 6x + 12) (x- 2)3 Note that f' (x) = and f" (x) = You do not need to verify this in your video. (x – 2)2 Also note that a – 6x + 12 = 0 has no real solutions. In your video, answer all of the following questions, justifying your response: 1.) Give the intervals of increase and the intervals of decrease for f(x). ties 2.) Give the location of any local maximums and local minimums on the graph of y = f(x). Give your answer(s) as a point, listing both the r- ces coordinates and y -coordinates. 3.) List the intervals of concavity for f(x). 4.) Identify any inflection points on the graph of y = f(x). Give your answer(s) as a point, listing both the a -coordinates and y -coordinates. 5.) Sketch the graph of y = f(x) on the axes below. Be sure your graph reflects all of the information above.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 52E
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may be recorded via any device capable of producing a digital video file, or can be recorded directly in this
assignment using your computer's webcam.
23
Consider the function f(x) =
x – 2
2(x - 3)x²
(x - 2)2
2x(x2 – 6x + 12)
(x – 2)3
Note that f' (x) =
and f" (x)
You do not need to verify this in your video.
Also note that x – 6x + 12 = 0 has no real solutions.
In your video, answer all of the following questions, justifying your response:
1.) Give the intervals of increase and the intervals of decrease for f(x).
ties
2.) Give the location of any local maximums and local minimums on the graph of y = f(x). Give your answer(s) as a point, listing both the r-
ces
coordinates and y -coordinates.
3.) List the intervals of concavity for f(x).
4.) Identify any inflection points on the graph of y = f(x). Give your answer(s) as a point, listing both the r -coordinates and y -coordinates.
5.) Sketch the graph of y = f(x) on the axes below. Be sure your graph reflects all of the information above.
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Transcribed Image Text:may be recorded via any device capable of producing a digital video file, or can be recorded directly in this assignment using your computer's webcam. 23 Consider the function f(x) = x – 2 2(x - 3)x² (x - 2)2 2x(x2 – 6x + 12) (x – 2)3 Note that f' (x) = and f" (x) You do not need to verify this in your video. Also note that x – 6x + 12 = 0 has no real solutions. In your video, answer all of the following questions, justifying your response: 1.) Give the intervals of increase and the intervals of decrease for f(x). ties 2.) Give the location of any local maximums and local minimums on the graph of y = f(x). Give your answer(s) as a point, listing both the r- ces coordinates and y -coordinates. 3.) List the intervals of concavity for f(x). 4.) Identify any inflection points on the graph of y = f(x). Give your answer(s) as a point, listing both the r -coordinates and y -coordinates. 5.) Sketch the graph of y = f(x) on the axes below. Be sure your graph reflects all of the information above. alde haballa Next> C fll dia Submit Assignment Show All Section 2 Assign.pdf Section 2 Assig..docx MacBook Pro 米 G Search or type URL
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