3. Functions of Several Variables

Graphs, Level Curves, Level Surfaces — Quiz

Test your understanding of graphs, level curves, level surfaces with 5 practice questions.

Practice Questions

Question 1

Which description best matches the graph of a function of two variables $z=f(x,y)$?

Question 2

For the function $f(x,y)=x^2+y^2$, what is the level curve corresponding to the value $4$?

Question 3

For the function $f(x,y,z)=x+y+z$, which equation describes the level surface where $f(x,y,z)=3$?

Question 4

If a function of two variables has graph $z=f(x,y)$, which variable is the output variable?

Question 5

For $f(x,y)=x-y$, what is the level curve for the value $0$?