Question

Is the domain of a piecewise-defined function implied or explicitly described?

Answer 1

Piecewise functions are a group of sub-functions that have their own set of domain and range interval. Together, these sub-functions make up the total domain or range. Therefore, you need to explicitly define the interval because this sets the boundaries of each sub-function of the piecewise functions.

Answer 2

Explicitly

Explanation:

The domain of the function is the set of all possible values of a function which gives real value.

Piecewise Function is values of the domain which have different behavior from rest.

Implicit means clearly stated and explicit mean not clearly stated.

Thus, the domain of a piecewise defined function is explicitly described.