Given $Y = f ( X , Z )$ which of the following are necessarily true?
A)Y is a linear function.
B)X,Z are dependent variables.
C)A contour line of this function would keep Y constant.
D)An increase in X would increase Y.

Question

Quizplus · Accepted Answer

Contour lines of a function represent points where the function's output (in this case, Y) remains constant. This is a general property of contour lines for any function, not dependent on the function being linear or the relationship between X and Z.

Given Y=f(X,Z)Y = f ( X , Z )Y=f(X,Z) Which of the Following Are Necessarily True? A)Y Is a of the Following

Given $Y = f ( X , Z )$ Which of the Following Are Necessarily True?
A)Y Is a of the Following