? You need to do what you are told to do: Draw several curves of the contour map! That has nothing to do with finding "domain" and range".jheld said:Homework Statement
Draw a contour map of the function showing several level curves.
f(x,y) = x^3 - y
Homework Equations
f(x, y) = x^3 - y
The Attempt at a Solution
I think I should be finding the domain and range, but other than that I am not sure what else I need to do.
jheld said:Okay, I understand what you mean by making it equal that constant and then set the constant to a number of different values, but I'm having a difficult time putting the equation into a way that I can quasi-graph it.
A contour map is a type of map that shows the variation of a particular variable over a two-dimensional surface. It uses contour lines to represent points of equal value for the variable being measured.
A contour map is created by plotting points with the same value for the variable being measured and connecting them with contour lines. These lines are then interpolated to create a smooth representation of the surface.
The purpose of a contour map is to visualize the topography or variation of a particular variable over a two-dimensional surface. It can be used to identify patterns, trends, and areas of high or low values for the variable being measured.
Level curves and contour lines are essentially the same thing. They both represent points of equal value for the variable being measured. The term "level curve" is often used in mathematics, while "contour line" is more commonly used in geography and cartography.
A contour map can provide information about the topography or variation of a particular variable over a two-dimensional surface. It can also indicate the overall shape and features of the surface, such as peaks, valleys, ridges, and depressions. Additionally, contour maps can show the relationship between different variables, such as elevation and temperature or population density and land use.