Q. 16 - Calculus

Question

Provide a rough sketch of the graph of a function of two variables with the specified level "curve(s)." (There are many possible correct answers to each question.)
One level curve consists of all the points $$(m, n)$$

where \begin{equation} m \end{equation} and \begin{equation} n \end{equation} are both integers.

Step-by-Step Solution

Answer

The final graph is:

$$f(x,y): y=x^{2}+2$$

Step 1. Given information

Two variables $$m,n$$ are provided using which the graph is to be drawn for one level curves with specified level.

Step 2. Graph

The function will be a graph of $$f(x,y)$$