Final answer:
The equation of the function is f(x) = 7x - 5
Step-by-step explanation:
The equation of the function in the form f(x) = mx + b can be found by substituting the given values of f(x) and x into the equation and solving for m and b.
f(-4) = -33 gives us -33 = -4m + b
f(0) = -5 gives us -5 = b
Substituting b = -5 into the first equation, we get -33 = -4m - 5
Solving for m, we get m = 7
Therefore, the equation of the function is f(x) = 7x - 5, which corresponds to choice B.