Frequently, functions are defined over the range of variables. An example of such piecewise function is the following: There are different ways of defining this function. One way is to use...

Frequently, functions are defined over the range of variables. An example of such piecewise function is the following:

There are different ways of defining this function. One way is to use if-then-else statement and determine the range of x. However, for large matrices this method is not so efficient. Write a vectorized implementation of this function f(x).