Question

Sketch the graph of the function. Use of technology is suggested.
s(x, y) = -(x² + y²)

Answer 1

To sketch the graph of the function s(x, y) = -(x² + y²), use technology like a graphing calculator or software. Plot points by selecting x and y values, calculate s(x, y) for each point, and connect the points to form the graph.

Step-by-step explanation:

To sketch the graph of the function s(x, y) = -(x² + y²), we can use technology such as a graphing calculator or software. This will allow us to visualize the graph accurately. Here's how you can do it:

1. Plot several points by selecting different values of x and y. For example, you can choose x = -2, -1, 0, 1, 2 and y = -2, -1, 0, 1, 2.
2. Calculate the corresponding values of s(x, y) by substituting the x and y values into the equation. For each point, evaluate s(x, y) = -(x² + y²).
3. Plot the points on a graph, using x as the horizontal axis and s(x, y) as the vertical axis.
4. Connect the plotted points to form a curve. This is the graph of the function s(x, y).