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Given 𝑓(π‘₯) = π‘₯ βˆ’ sin π‘₯, over the interval 0 ≀ π‘₯ ≀ 2Ο€

Given 𝑓(π‘₯) = π‘₯ βˆ’ sin π‘₯, over the interval 0 ≀ π‘₯ ≀ 2πœ‹


a. Find all local and absolute extrema and give the ordered pair where they occur.Β 


b. Find the intervals on which the function is increasing and decreasing.


c. Find the intervals on which the function is concave up and concave down.Β 


d. Graph the function. Be sure to include all of the information from parts a-c and all x- and y-intercepts.

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