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In the past we have used inequality notation, set builder notation, and graphs (see below for examples); the purpose of this worksheet is to introduce.
Typology: Study notes
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Note to Teachers This worksheet is simply meant to help students understand interval notation. Teachers should feel free to add any problems or activities to this worksheet that they may desire. Also the line graphs have been left blank and teachers need to fill them in before copying for their class.
Interval Notation Worksheet
When describing a solution there are several methods to demonstrate the answer. In the past we have used inequality notation, set builder notation, and graphs (see below for examples); the purpose of this worksheet is to introduce another method called interval notation.
Notation What does it look like? How do you say it? graph All numbers greater than or equal to three
Set Notation (^) { x x 3 } The set of all x ’s such that x is greater than or equal to three Inequality Notation (^) x 3 x is greater than or equal to three Interval Notation (^) [3, ) The interval from three to infinity, inclusive of three
Just like a filled in dot means that a point is included in the graph, or that it can be “equal to”, the bracket or “[“ means that a point is included or inclusive.
If a point is not included it would be shown graphically as an open dot, and in interval notation is represented by parentheses “(“.
Since it is not possible to reach infinity , the symbol next to it must always be the parentheses. When going in the negative direction infinity is written - , or negative infinity.
Graph the following function on a coordinate plane and then describe the domain and range in interval notation. Use and label an appropriate scale.
f ( ) x x^2 3 x 1
Domain:
Range:
g x ( ) x +
Domain:
Range:
h x ( ) x 1 3
Domain:
Range:
