My teacher has given some test prep/homework questions. She says fully analyze them which means find the intercepts, symmetry, asymptotes, intervals of inc/dec, local max and min, inflection points, and concavity. Here are a couple of questions from the sheet. The first one I've gotten part way through (I put up my rough copy of it) and the second one I can't get because of the double root.
Here's my rough copy of the attempt at solution for the first one but I know that parts of it are wrong: