# How to solve domain and range

## Domain and Range of Rational Functions

Simple explanation for domain and range. We learn the domain of a function is the set of possible x-values and the range is the resulting set of.

and season episode howFinding Domain and Range. Learning Objective s. 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. There may be restrictions on the domain and range.

Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x -axis. The range is the set of possible output values, which are shown on the y -axis.

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The domain of a rational function consists of all the real numbers x except those for which the denominator is 0. To find these x values to be excluded from the domain of a rational function, equate the denominator to zero and solve for x. One way of finding the range of a rational function is by finding the domain of the inverse function. The graph approaches x -axis as x tends to positive or negative infinity, but never touches the x -axis. That is, the function can take all the real values except 0. So, the range of the function is the set of real numbers except 0.

Easy to understand math lessons on DVD. Try before you commit. The domain of a function is the complete set of possible values of the independent variable. The domain is the set of all possible x -values which will make the function "work", and will output real y -values. This will make the number under the square root positive. In general, we determine the domain of each function by looking for those values of the independent variable usually x which we are allowed to use. Usually we have to avoid 0 on the bottom of a fraction, or negative values under the square root sign.

This article was co-authored by our trained team of editors and researchers who validated it for accuracy and comprehensiveness. Together, they cited information from 11 references. Categories: Mathematics. Learn more The domain of the function is all of the x-values horizontal axis that will give you a valid y-value output.

## Domain and Range of a Function

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Determining the range of a function (Algebra 2 level)

One way of finding the range of a rational function is by finding the domain of the in the domain of the function, equate the denominator to zero and solve for x.

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