Consider the function

a. Graph g(x) for x [-5,5]. Also, graph this function for x [1.9,3] to observe behavior near one of the x-intercepts. Find all x- and y-intercepts (to at least 4 significant figures).

b. Find the derivative of g(x) and write it in your Lab report. Graph g'(x) for x [-5,5] and x [1.9,3]. Find the points (x and y values) where the maximum and minimum values of g occur. (Note that there are 3 extrema.)

c. Find the second derivative of g(x). Determine when it is zero, which is where points of inflection occur. Find all points of inflection (x and y values) for this function. (There are 4 of them.)

d. Is this function odd, even, or neither?