Step 1 :Substitute x=4 into the function f(x)
Step 2 :f(4) = 0.012(4)^{4} - 0.011(4)^{3} + 5.1(4)^{2} - 33(4) + 33
Step 3 :Simplify the expression
Step 4 :f(4) = 0.012(256) - 0.011(64) + 5.1(16) - 33(4) + 33
Step 5 :f(4) = 3.072 - 0.704 + 81.6 - 132 + 33
Step 6 :f(4) = -14.032
Step 7 :The average temperature for the month of April is \(\boxed{-14.032}\) degrees Fahrenheit