Given the following information for a function f(x) :(i)f(x)is defined for all real numbers(ii)f'(x)=9(x2-4)(x2+4)2(iii)f''(x)=-18x(x2-12)(x2+4)3(iv)f(0)=0(v)limxf(x)=0(vi)limx-f(x)=0(vii) The function has a local maximum value of2.25Find(a) All intervals on which f(x)is increasing or decreasing.(b)x-value(s)of all local (relative) extrema.(c) All intervals where f(x)is concave upor concave down.(d)x-value(s)of all inflection points.(e) Sketch the graph off(x). Label all asymptotes, local extrema, and inflectionpoints.