Consider the functions and Deduce the following. 4x P(x) = x +1 q(x) = xx+1 1. Determine all extreme values and intervals of increase/decrease. 2. Determine all inflection points and intervals of concavity. 3. Determine the ending behavior, i.e. limits to infinity. 4. Deduce any additional information about the graph you deem useful to sketch the graph of this function. Such as intercepts or addition ordered pairs to aid in your sketching. 5. Sketch the graph of this function utilizing the data obtained from 1-4.