- #1
jahlin
- 21
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if a function is definied by z=f(x,y)..the graph of the function is a surface without thickness right ?i can't really differentiate between a 3d and 2d graph..both look like surfaces.
jahlin said:if a function is definied by z=f(x,y)..the graph of the function is a surface without thickness right ?i can't really differentiate between a 3d and 2d graph..both look like surfaces.
A graph of a function of 2 variables is a visual representation of how the output of a function changes with respect to two independent variables. It is typically represented on a 2-dimensional plane where one axis represents the first variable and the other axis represents the second variable.
To interpret a graph of a function of 2 variables, you can look at the points on the graph and see how the function changes as the values of the two variables change. This can give you insights into the relationship between the variables and how they affect the output of the function.
The most common types of graphs for functions of 2 variables are contour plots, surface plots, and scatter plots. Contour plots show curves of constant output values, surface plots show the function as a 3-dimensional surface, and scatter plots show individual data points on a 2-dimensional plane.
To create a graph of a function of 2 variables, you first need to define the function and the values of the two variables. Then, you can plot the points on a graph using the appropriate type of graph (contour, surface, or scatter plot). There are also software programs and graphing calculators that can help you create these graphs.
A graph of a function of 2 variables can provide information about the behavior of the function, such as its minimum and maximum values, its rate of change, and any relationships between the two variables. It can also help us visualize the function and make predictions about its behavior in different scenarios.