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The range of a function is the set of output values when all x values in the domain are evaluated into the function commonly known as the y values this means i need to find the domain first in order to describe the range.
Write the domain and range of f using interval notation. 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. The graph may continue to the left and right beyond what is viewed but based on the portion of the graph that is visible we can determine the domain as latex 1973 le t le 2008 latex and the range as approximately latex 180 le b le 2010 latex. To find the range is a bit trickier than finding the domain.
3 x domain range 4 00 10 8 7 4 3 2 1 av 5 4 3 2 1 3 4 3 4. Range of a function. For f x x 2 the domain in interval notation is.
When using interval notation domain and range are written as intervals of values. In the previous examples we used inequalities and lists to describe the domain of functions. In interval notation we use a square bracket when the set includes the endpoint and a parenthesis to indicate that the endpoint is either not included or the interval is unbounded.
We can write the domain and range in interval notation which uses values within brackets to describe a set of numbers. Get more help from chegg get 1 1 help now from expert algebra tutors solve it with our algebra problem solver and calculator. In interval notation the domain is 1973 2008 and the range is about 180 2010.
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. Write the domain and range of f using interval notation. 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.
In interval notation there are five basic symbols to be familiar with.
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