Consider the function f(x) = x (1 − 2x) 2 . To safe you time, here is some very useful information about f: f 0 (x) = 2x + 1 (1 − 2x) 3 , f00(x) = 8x + 8 (1 − 2x) 4 . (a) Find all (if any) vertical and horizontal asymptotes of f. (b) find the increasing and decreasing intervals of f, and find all (if any) local maximum or minimum values (x and y values). (c) Find the intervals of concavity of f, and find all (if any) point of inflection (x and y values). (d) Using the above information, sketch the graph of y = f(x). Label intercepts, asymptotes, local maximum/minimum points, and inflection points

 

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5. (10 marks) Consider the function X (1-2x)². To safe you time, here is some very useful information about f: f(x)= = 8x + 8 (1-2x)4 (a) Find all (if any) vertical and horizontal asymptotes of f. (b) find the increasing and decreasing intervals of f, and find all (if any) local maximum or minimum values (x and y values). = 2x + 1 (1-2x)³¹ = (c) Find the intervals of concavity of f, and find all (if any) point of inflection (x and y values). (d) Using the above information, sketch the graph of y = f(x). Label intercepts, asymp- totes, local maximum/minimum points, and inflection points. 5. (10 marks) Consider the function X (1-2x)². To safe you time, here is some very useful information about f: f(x)= = 8x + 8 (1-2x)4 (a) Find all (if any) vertical and horizontal asymptotes of f. (b) find the increasing and decreasing intervals of f, and find all (if any) local maximum or minimum values (x and y values). = 2x + 1 (1-2x)³¹ = (c) Find the intervals of concavity of f, and find all (if any) point of inflection (x and y values). (d) Using the above information, sketch the graph of y = f(x). Label intercepts, asymp- totes, local maximum/minimum points, and inflection points.

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flxs Horizontal asymptotes A L lim lim Ell Now lim flzl 148 g 2 x 12x 12 Jh ... View the full answer