Assume f(x) = -1/4(x-2)^2 (x-5)^5 (x-3)^3 and g(x)= x 4
a) Determine y=k(x)=f[g(x)]
b) Determine leading term of k(x) and state the end behavior
c) Determine x and y intercepts
d) Solve inequalities k(x)>0 and k(x)<0, state in interval notation
e) Compute shape of curve at every x-intercept.