Question

For the following function f(x) = log(sinx) on the interval 0 ≤ x ≤ 2π please find all of the following (and show how you found them)

Domain, X-intercepts, Y-intercepts, vertical and horizontal asympototes, the increasing and decreasing intervals, the critical points, the maxima and/or minima, and the concavity of the graph.

Then using this infomration plot the graph of f(x).