What is the resulting ordered pair if the value of the independent variable is 2? f(x)=-6x^3 -4x^2 a. (–52, 2) b. (2, –64) c. (2, –52) d. (–64, 2)

To find f(2), put 2 where the variable is, then do the arithmetic. It might be easier to factor out x^2:
  f(x) = (-6x-4)·x^2
  f(2) = (-6·2-4)·2^2
  = -16·4
  = -64

Then the ordered pair (x, f(x)) for x=2 is
  B. (2, -64)