3.02 - Function Notation and Piecewise Functions

Function Notation and Piecewise Functions

Function Notation

Since y depends on x, we can notate y as . Where there are different values of x, we can find f. For example, the value of at can be notated as .

Key Concept

Piecewise Functions

Piecewise functions are functions that are formed out of 2 or more functions at different intervals of the function’s domain.

Example

Take . Find and .

can be found by determining the function at that interval. The corresponding function for . Then, substitute 1 into .

Take the same process for .