Final answer:
The value of the function at x = -6 is -240.
Step-by-step explanation:
To evaluate the function f(x) = x^3 + 11x^2 + 29x + 6 at x = -6, we substitute -6 for x in the function:
f(-6) = (-6)^3 + 11(-6)^2 + 29(-6) + 6
f(-6) = -216 + 396 - 174 + 6
f(-6) = -240
Therefore, the value of the function at x = -6 is -240.