1. Let g(x) = (x + 1)e- with g'(x) = -re- and g"(x) = (x - 1)e-. (a) Determine the domain of g, x-intercept and y-intercept. (b) Determine the intervals of increase and decrease. (c) Determine the intervals of concave up and concave down. (d) Use your work above to answer the following: . The graph of g is concave up and increasing on the interval . The graph of g is concave up and decreasing on the interval . The graph of g is concave down and increasing on the interval . The graph of g is concave down and decreasing on the interval . The graph of g has inflection point(s) at