Domain and range of piecewise functions

The  exercise appears under the Algebra I Math Mission. This exercise practices finding the domain and range of a piecewise function given its formula.

Types of Problems
There is one type of problem in this exercise:
 * 1)  What is the domain of and range of $$f$$?: This problem has a  piecewise function and user is asked to find the domain and range of $$f$$.

Strategies
Knowledge of piecewise functions and the domain of them are essential to ensure success in this exercise.
 * 1) The domain of a function is the set of all inputs for which the function is defined. For piecewise functions, this is the union of the domains of all the individual cases, as described by the formula.
 * 2) The range of a function is the set of all the possible function outputs. For piecewise functions, this is the union of the ranges of all the individual cases.

Real-life Applications

 * 1) Problems like this will appear on standardized tests, like the SATs and the ACTs.