Select the graph which satisfies all of the given conditions. Justify the answer in terms of derivatives and concavity information that is given. Explain why the graph you picked is the correct one as opposed to taking an approach where options are eliminated. The explanation should be a guide on how to construct the appropriate graph given only the information below.

f'(-3)=f'(1)=0

Increasing on (-3, 1) U (1, infinity)

Decreasing on (-infinity, -3)

f''(-5/3) = f''(1) = 0

Concave upward on (-infinity, -5/3) U (1, infinity)

Concave downward on (-5/3, 1)