In the context of a graph of a mathematical function, the domain and range represent the set of values for the independent variable (usually the horizontal axis) and the dependent variable (usually the vertical axis), respectively.
The domain of a function is the set of all possible input values (x-values) for which the function is defined. It represents the values of the independent variable that can be plugged into the function to produce a valid output. In a graph, the domain is typically shown on the horizontal axis.
The range of a function is the set of all possible output values (y-values) that can be produced by the function for any valid input. It represents the values of the dependent variable that can be produced by the function. In a graph, the range is typically shown on the vertical axis.
In a graph of a function, the domain and range are often represented by the x and y values that fall within the boundaries of the graph. For example, a graph of the function y = x^2 may show the domain as all real numbers and the range as all non-negative real numbers, with the graph appearing as a parabola opening upwards within those bounds.
In summary, in the context of a graph of a mathematical function, the domain and range represent the set of values for the independent and dependent variables, respectively, and are typically shown on the horizontal and vertical axes of the graph, respectively.
