Function Domain Using Interval Notation
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In interval notation an interval is specified by an ordered pair of numbers consisting of the left and the right endpoints of the interval.
Function domain using interval notation. Interval values represented on a number line can be described using inequality notation set builder notation and interval notation. In the previous examples we used inequalities and lists to describe the domain of functions. Since an interval might or might not contain its endpoints we use square brackets cdot when endpoints are included in the interval and parentheses cdot when endpoints are not included.
Recall that the domain of a function is the set of possible input values x values of the function. Interval notation is a method used to write the domain and range of a function. Interval values represented on a number line can be described using inequality notation set builder notation and interval notation.
For f x x 2 the domain in interval notation is. D indicates that you are talking about the domain and read as negative infinity to positive infinity is another way of saying that the domain is all real numbers. We can also use inequalities or other statements that might define sets of values or data to describe the behavior of the variable in set builder notation for example latex left x 10 le x 30 right latex describes the behavior of latex x latex in set builder notation.
Given a function in function notation form identify the domain and range using set notation interval notation or a verbal description as appropriate. For example 0 1 represents the interval of all. When using interval notation domain and range are written as intervals of values.
Open parentheses closed parentheses infinity imagine an 8 sideways negative infinity an 8 sideways with a negative sign in front of it and union a symbol similar to an elongated u. Learn how to find the domain of rational functions. For many functions the domain and range can be determined from a graph.
For many functions the domain and range can be determined from a graph.
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