Domain And Range Of A Function Meaning

Illustrated definition of domain of a function.

Domain and range of a function meaning. As a function table and as a set of coordinates. The domain and range of a function is all the possible values of the independent variable x for which y is defined. According to the domain and range values we determined 0 0 could not be a part of the range for this function. A step by step tutorial with detailed solutions on how to find the domain and range of real valued functions is presented.

Functions are a correspondence between two sets called the domain and the range when defining a function you usually state what kind of numbers the domain x and range f x values can be but even if you say they are real numbers that does not mean that all real numbers can be used for x it also does not mean that all real numbers can be function values f x. A table of domain and range of basic functions might be useful to answer the questions below. Put any number into the sin function in your calculator. To find the range of a function first find the x value and y value of the vertex using the formula x b 2a.

The example below shows two different ways that a function can be represented. All the values that go into a 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. Domain and range of a function.

If we find 0 0 the square root function is undetermined at that point and does not appear to exist so we now have evidence that our domain and range are correct. Domain rarr function rarr. The domain of y sin x is all values of x since there are no restrictions on the values for x. To find the domain of a function just plug the x values into the quadratic formula to get the y output.

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 output values are called the range. 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. First the definitions of these two concepts are presented.