How To Find Domain And Range Of A Function Step By Step

The set of possible y values is called the range.

How to find domain and range of a function step by step. The domain calculator allows you to take a simple or complex function and find the domain in both interval and set notation instantly. So in the following tutorials i introduce you to this concept by looking at linear quadratic root and reciprocal functions. Learn how to determine the domain and range of a function given the graph of the function.

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. Another way to identify the domain and range of functions is by using graphs. These can be slightly more demanding.

Thus the domain of the function is left 2 3 right also the variation in the function output is in the continuous interval from 1 to 4. If you want to know how to find the domain of a function in a variety of situations just follow these steps. Find the domain and range of a function with a table of values.

The domain of y sin x is all values of x since there are no restrictions on the values for x. Put any number into the sin function in your calculator. I am often asked what is the domain and range of a function.

Then plug that answer into the function to find the range. 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. We observe that the graph corresponds to a continuous set of input values from 2 to 3.

In the following tutorial i continue by looking at square root and reciprocal functions. Click the blue arrow to submit and see the result. Make a table of values on your graphing calculator see.