Math Domain And Range Notation

When using interval notation domain and range are written as intervals of values.

Math domain and range notation. In interval notation there are five basic symbols to be familiar with. Given a function in function notation form identify the domain and range using set notation interval notation or a verbal description as appropriate. In its simplest form the domain is the set of all the values that go into a function. Two ways in which the domain and range of a function can be written are.

For f x x 2 the domain in interval notation is. Ir we could also use interval notation to assign our domain and range. To give the domain and the range i just list the values without duplication. 2 3 4 6 range.

The function must work for all values we give it so it is up to us to make sure we get the domain correct. Domain infinity infinity range infinity infinity. Domain and range 1 cool math has free online cool math lessons cool math games and fun math activities. A simple function like f x x 2 can have the domain what goes in of just the counting numbers 1 2 3 and the range will then be the set 1 4 9 and another function g x x 2 can have the domain of integers 3 2 1 0 1 2 3 in which case the range is the set 0 1 4 9.

In interval notation the domain is 1973 2008 and the range is about 180 2010. In the previous examples we used inequalities and lists to describe the domain of functions. Set builder notation is very useful for defining domains. 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.

3 1 3 6 affiliate. The above list of points being a relationship between certain x s and certain y s is a relation. The domain is all the x values and the range is all the y values. For the domain and the range we approximate the smallest and largest values since they do not fall exactly on the grid lines.

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. The domain and range are all real numbers because at some point the x and y values will be every real number.