This section is an exploration of the piece-wise function; specifically how and why they are used and their mechanics.

By the end of this section students should be able to:
  • Identify piecewise functions
  • Correctly compute values of a piecewise function.
  • Determine the implicit domain of a piecewise function.
  • Create well defined piecewise functions.
  • Identify discontinuities in a piecewise function.

In this section we aim to answer the following questions

  • How, and why, do we use piecewise functions?