Domain And Range Of A Function Explanation

For example the function has a domain that consists of the set of all real numbers and a range of all real numbers greater than or equal to zero.

Domain and range of a function explanation. To learn more about function enrol in our full course now https. Domain and range are all the possible x values and y values of the function and can often be described easily by looking at a graph. Watch this video to find out answers. What is the range of a function.

The domain of a function is all the possible input values for which the function is defined and the range is all possible output values. From the above graph you can see that the range for x 2 green and 4x 2 25 red graph is positive. Domain and range of a function explanation examples. Make a table of values on your graphing calculator see.

You can take a good guess at this point that it is the set of all positive real numbers based on looking at the graph. How to make a table of values on the ti89. The domain and range of a function is all the possible values of the independent variable x for which y is defined. As a function table and as a set of coordinates.

If you are still confused you might consider posting your question on our message board or reading another website s lesson on domain and range to get another point of view. The domain of a function is the collection of independent variables of x and the range is the collection of dependent variables of y. Any number should work and will give you a final answer between 1 and 1 from the calculator experiment and from observing the curve we can see the range is y betweeen 1 and 1. F x maps the element 7 of the domain to the element 49 of the range or of the codomain.

Put any number into the sin function in your calculator. Find the domain and range of a function with a table of values. Its range is a sub set of its codomain. To find the domain of a function just plug the x values into the quadratic formula to get the y output.

A function maps elements of its domain to elements of its range. To find the range of a function first find the x value and y value of the vertex using the formula x b 2a. In this article we will learn what a domain and range of a function mean and how to calculate the two quantities. The example below shows two different ways that a function can be represented.

Before getting into the topic of domain and range let s briefly describe what a function is.