Domain and range of piecewise functions

The Domain and range of piecewise functions exercise appears under the Mathematics I Math Mission, Algebra I Math Mission and Mathematics II 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:

Find the domain and range of the function.

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.