Question: (3) (15 pts) Consider the function f(.') : ln |as2 1| + 5111(5):2 + 1) (a) Find the natural domain of the function f and

(3) (15 pts) Consider the function f(.') : ln |as2 1| + 5111(5):2 + 1) (a) Find the natural domain of the function f and its zeroes. (b) Find all the critical points and determine their type (c) Find the maximum and the minimum value of the function on the interval [0.6,0.5]. ((1) Determine where the function is concave and convex. (e) Compute lim f(L') and lim f(a:) m>:|:oc cc>:I:1 (f) Sketch a graph of the function (in order to get points your graph has to be consistent with your nding above). Hint: consider separately the case when 3:2 1 2 0 and 3:2 1

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