Basic Domain And Range Examples And Answers

The range of a function is all the possible values of the dependent variable y.

Basic domain and range examples and answers. Note that since the domain is discrete the range is also discrete. 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. The range of f x 2 x 1 is 2.

This is sometimes referred to as the natural domain of the function. Examples of domains and ranges from graphs important notes about domains and ranges from graphs. 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.

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 we could write this as 1 y 1. The domain of y sin x is all values of x since there are no restrictions on the values for x. The domain and range of a function is all the possible values of the independent variable x for which y is defined.

The plot of a function f is shown below. Therefore we say the domain. On the number line it looks like.

Both graphs include all real numbers latex x latex as input values since both graphs continue to the left negative values and to the right positive values for latex x latex inputs. The example below shows two different ways that a function can be represented. The curves continue to infinity in both directions.

Find the domain and range of the function. The range of a function f consists of all values f x it assumes when x ranges over its domain. Sometimes it isn t possible to list all the values that x or y can be because the graph.