The domain of a function refers to the set of all possible input values for the independent variable, while the range refers to the set of all possible output values for the dependent variable. In simpler terms, the domain is the set of x-values and the range is the set of y-values.
To determine the domain of a function, you need to look at the independent variable and identify any restrictions or limitations on its values. The range can be found by analyzing the behavior of the function as the independent variable changes. You can also create a table or graph to help visualize the values of the domain and range.
Understanding domain and range is crucial in mathematics because it helps us to identify the possible inputs and outputs of a function. This information is essential in solving equations, graphing functions, and identifying any restrictions or limitations on the values of a function.
Yes, the domain and range of a function can be infinite. This means that there are no restrictions or limitations on the values of the independent or dependent variable. For example, the function y = x² has a domain and range of all real numbers, which is infinite.
To graph the domain and range of a function, you can plot the points on a coordinate plane using the values of the domain as the x-coordinates and the values of the range as the y-coordinates. You can also use a graphing calculator or a computer program to create a visual representation of the domain and range.