Problem 12.6: (5 points)Sketch the graph of a function f that is continuous everywhere and satisfies all of the following properties:f'(-3)=0 and f'(4)=0f'(2) is undefined.f'(x)>0 if x is in the interval (-,-3) or (2,4)f'(x)<0 if x is in the interval (-3,2) or (4,)limxf(x)=-2(Note: the y-values for the relative extrema can be anything you want them to be).Problem 13.1: (4 points)The graph of the second derivative f'' of a certain function is shown below. Answer the questions that follow.(a)(1 point) Find the open interval(s) where the original function, f, is concave up.(b)(1 points) Find the open interval(s) where the original function, f, is concave down.(c)(2 points) Find the x-values for any inflection points.