Domain And Range Examples And Answers

Examples solutions videos worksheets and activities to help algebra 1 students learn how to find the domain and range of functions.

Domain and range examples and answers. Sometimes it isn t possible to list all the values that x or y can be because the graph. Y 4x 8 domain. Remember that domain refers to the x values that are represented in a problem and range refers to the y values that are represented in a problem. For example y x has domain.

X y the range of f is the set of y values such that. Use the mapping diagrams to. The example below shows two different ways that a function can be represented. All real x range.

This is sometimes referred to as the natural domain of the function. The range of a function is all the possible values of the dependent variable y. If only the rule y f x is given then the domain is taken to be the set of all real x for which the function is defined. A relation is a function if there is exactly one arrow leading from each value in the domain.

You can start playing for free. The plot of a function f is shown below. Then plug that answer into the function to find the range. We now look at a few examples of domain and range for each type of function below linear absolute parabola hyperbolic cubic circle exponential top half of a circle top half of a parabola etc.

Find the domain and range of the function. Examples of domains and ranges from graphs important notes about domains and ranges from graphs. The following diagrams show the domain and range of a function. The domain values in one oval are joined to the range values in the other oval using arrows.

Mathscore edufighter is one of the best math games on the internet today. This indicates that each element in the domain corresponds to exactly one element in the range. Thus the domain of the function is left 2 3 right also the. Scroll down the page for more examples and solutions.

Note that since the domain is discrete the range is also discrete. All real x 0. As a function table and as a set of coordinates. As a more extreme example a function s inputs and outputs can be completely different categories for example names of weekdays as inputs and numbers as outputs as on an.

We observe that the graph corresponds to a continuous set of input values from 2 to 3. All real y this is a linear function. 1 1 4 range of a function for a function f. The domain and range of a function is all the possible values of the independent variable x for which y is defined.