Answer: -41,472
Step-by-step explanation: The function f(x) is defined as -2x^4. To find the value of f(12), we substitute 12 in place of x in the function.
f(12) = -2(12)^4
To evaluate this expression, we first calculate 12^4, which equals 12 * 12 * 12 * 12 = 20,736.
Substituting this value back into the expression, we have:
f(12) = -2 * 20,736
Multiplying -2 by 20,736, we get:
f(12) = -41,472
Therefore, the value of f(12) is -41,472.