Piecewise Function Domain And Range Examples

F x x 5 here there is no restriction you can put in any value for x and a value will pop out.

Piecewise function domain and range examples. 5 for 0 x 2. The same reasoning applies to the range of functions. A piecewise function is a function in which more than one formula is used to define the output over different pieces of the domain.

In its simplest form the domain is all the values that go into a function and the range is all the values that come out. We use piecewise functions to describe situations in which a rule or relationship changes as the input value crosses certain boundaries for example we often encounter situations in business for which the cost per piece of a certain item is discounted once the number ordered exceeds a certain value. X 2 for x 0.

A piecewise function is a function in which more than one formula is used to define the output over different pieces of the domain. X 2 for x 2. Determining the domain of a piecewise defined function given its graph.

2x 3 0 x 2. 2x 3 0 x 2. 3x 6 x 11.

Let s see some examples of how to find the domain and range of a piecewise defined function from its graph. Find the range of each clause separately. Tax brackets are another real world example of piecewise.

Using the graph determine its domain and range. F x x 2 2 x 6. But anyway for example we had a piecewise function like this.