Find Domain And Range Of A Function Using Interval Notation

Updated video in hd here.

Find domain and range of a function using interval notation. Write the domain and range of the function using a interval notation b from econ e101 at delhi technological university. 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. This is only true when the function is non increasing or non decreasing over your domain. Do you notice that each one of those functions has powers of x that are whole numbers.

In interval notation there are five basic symbols to be familiar with. For the domain and the range we approximate the smallest and largest values since they do not fall exactly on the grid lines. Interval notation combines inequality or set notation with its graph and allows us to accurately express an interval with easy to understand symbols. 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 the range of f x.

There are so many different kinds of functions but domain and range are important parts of your study of functions. For many functions the domain and range can be determined from a graph. For example the range of sin x over 0 pi is not the single point sin 0 0 sin pi. In interval notation the domain is 1973 2008 and the range is about 180 2010.

Interval notation is a method used to write the domain and range of a function. In advanced mathematics interval notation is the preferred method of representing domain and range and is cleaner and easier to use and interpret. For f x x 2 the domain in interval notation is. Y 3x 1 y x 2 3x 2 and y x 3.

Let me give you some examples of polynomial functions. Why should we care. When using interval notation domain and range are written as intervals of values. Stick with those and you will have a polynomial.