Domain And Range Of A Function Explained

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.

Domain and range of a function explained. 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. The domain of a function is the collection of independent variables of x and the range is the collection of dependent variables of y. From the above graph you can see that the range for x 2 green and 4x 2 25 red graph is positive.

I am often asked what is the domain and range of a function. Make a table of values on your graphing calculator see. Domain range and codomain.

These can be slightly more demanding. In its simplest form the domain is all the values that go into a function and the range is all the values that come out. But in fact they are very important in defining a function.

The domain of y sin x is all values of x since there are no restrictions on the values for x. Understand the domain and range of a function. In the following tutorial i continue by looking at square root and reciprocal functions.

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. Put any number into the sin function in your calculator. The range is the set of all y values of the function.

The range is found in a similar fashion to the domain but instead of writing the interval as beginning at the smallest x value and ending at the largest x value we write it as starting at the smallest y value and ending at the largest y value. To find the range of a function first find the x value and y value of the vertex using the formula x b 2a. How to make a table of values on the ti89.