Using Interval Notation1.22006/01/09 16:18:35 US/Central2006/05/01 14:26:13.289 GMT-5PradnyaVinayBhawalkarpradnyab89@gmail.comKimDodgeJohnstonkim.johnston@fortbend.k12.tx.usPradnyaVinayBhawalkarpradnyab89@gmail.comClosed intervalInterval NotationOpen intervalAn introductory explanation on how to use interval notation (versus set notation)Interval notation is another method for
writing domain and range.In set builder notation braces (curly parentheses {} ) and variables are used to express the domain and range. Interval notation is often considered more efficient.In interval notation, there are only 5 symbols to know:Open parentheses ( )Closed parentheses [ ]Infinity Negative Infinity Union Sign
To use interval notation:Use the open parentheses ( ) if the value is not included in the graph. (i.e. the graph is undefined at that point... there's a hole or asymptote, or a jump)If the graph goes on forever to the left, the domain will start with ( . If the graph travels downward forever, the range will start with ( .
Similarly, if the graph goes on forever at the right or up, end with ) Use the brackets [ ] if the value is part of the graph. Whenever there is a break in the graph, write the interval up to the point. Then write another interval for the section of the graph after that part. Put a union sign between each interval to "join" them together. Now for some practice so you can see if any of this makes sense. Write the following using interval notation:021522024133Write the domain and range of the following in interval notation:Domain: 2023Range: 1123Domain: Range: 14Domain: Range: Domain: Range: 13Domain: Range: 23Domain: Range: 13Domain: 40Range: 04Domain: Range: 4Domain: Range: 0Domain: 0Range: Domain: 321Range: 012Domain: Range: 4Domain: 44Range: 4202Domain: 44Range: 04