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.
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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