Interval notation is yet another way of representing domain and range.

Interval notation appears quite simple with its use of square brackets to represent included values and round brackets to represent excluded values. Within the brackets lie the lowest and highest permitted values. Interval notation is often used to represent the domain and range of a relation.



Interval Notation
a symbolic way of representing a particular interval of values using specific brackets to denote inclusion or exclusion of the interval endpoints. Domain and range are often represented using interval notation.

 

Example 5

Which graph has a domain of and a range of ?

A square bracket means that the adjacent value is included in the interval. A round bracket means the adjacent value is not included in the interval.

The domain from Example 5 of «math style=¨font-family:`Times New Roman`¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»(«/mo»«mo»-«/mo»«mo»§#8734;«/mo»«mo»,«/mo»«mo»§#160;«/mo»«mn»2«/mn»«mo»]«/mo»«/math» is the same as «math style=¨font-family:`Times New Roman`¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»x«/mi»«mo»§#8804;«/mo»«mn»2«/mn»«/math».

The range from Example 5 of «math style=¨font-family:`Times New Roman`¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»[«/mo»«mn»0«/mn»«mo»,«/mo»«mo»§#160;«/mo»«mo»+«/mo»«mo»§#8734;«/mo»«mo»)«/mo»«/math» is the same as «math style=¨font-family:`Times New Roman`¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»y«/mi»«mo»§#8805;«/mo»«mn»0«/mn»«/math».

Rewrite the domain and range in set-builder notation.

 

Domain:

 

Range: