Question: Problem 2: (11 marks) Consider the functionf(x)=2x2x-1(a) Find all the x and y intercepts of f.(b) Find the critical points of f.(c) Use the second

Problem 2: (11 marks) Consider the functionf(x)=2x2x-1(a) Find all the x and y intercepts of f.(b) Find the critical points of f.(c) Use the second derivative test to identify all local mins/max among the critical points.(d) Using what you obtained in (c) find the intervals of increase/decrease.(e) Find the inflection points and use this to find the intervals of concavity.(f) Find all vertical and horizontal asymptotes of f(if any at all).(g) Use the information you obtained from (a) to (f) to accurately sketch the graph of f.

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