Consider a function f$($x$)$ that takes a variable x $($say x$=1,2,3,4)$ and computes the product of x and $($x$-1).$ What is the argmax of the function?

Group of answer choices

argmax for the f$($x$)$ is $16$

argmax for the f$($x$)$ is $12$

None of these

argmax for the f$($x$)$ is $4$