Hello teacher, mainly because the first three questions will not be. The last question I sent the answer I wrote, I hope the teacher can add corrections. If you can figure out the solution can also be. Thank you

(-2, 3) (-4, 1) (1,0) O (3, -1) Graph of f Let f be the continuous function defined on [-4, 3] whose graph, consisting of three line segments and a semicircle centered at the origin, is given above. Let g be the function given by g(x) = [" f(:) di. (a) Find the values of g(2) and 8(-2). (b) For each of g'(-3) and g"(-3), find the value or state that it does not exist. (c) Find the x-coordinate of each point at which the graph of g has a horizontal tangent line. For each of these points, determine whether g has a relative minimum, relative maximum, or neither a minimum nor a maximum at the point. Justify your answers. (d) For -4