Can you answe the question step by step and show how you solve on paper not just text format

(3) (15 pts) Consider the function f(:r) : ln |:1:2 1| + 5111(3:2 + 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 11m f(33) and $1321 f(a:) :r>:|:oc (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 352 1 2 0 and 3:2 1