From the graph, it is seen that the function is decreasing in the interval [-3,5].
At x=0, the function changes its concavity.
At the left hand side of x=0, the function is concave down and at the right hand of x=0, the function is concave up. So, x=0 is a point of inflection.
The function attains its minimum value at x=5 and maximum value at x=-3.
Hence, based on the graph and the above analysis, the correct statements are
(C) and (D).