The range of a two variable function is the set of all possible outputs or values that the function can produce. It represents the vertical axis on a graph and is determined by plugging in different values for the independent variables.
To find the range of a two variable function, you can graph the function or use algebraic methods. Graphing the function allows you to visually determine the range by looking at the highest and lowest points on the graph. Algebraically, you can set one variable equal to 0 and solve for the other variable, giving you the minimum or maximum value of the range.
The domain of a two variable function represents all the possible input values or independent variables, while the range represents the output values or dependent variables. In other words, the domain is the horizontal axis on a graph and the range is the vertical axis.
Understanding the range of a two variable function allows you to understand the behavior of the function and how it changes with different input values. It also helps you to determine the maximum and minimum values of the function, which can be useful in real-world applications and problem-solving.
Yes, the range of a two variable function can include negative values. This will depend on the function itself and the input values. Some functions may have a range that is entirely positive, while others may have a range that includes both positive and negative values.