Consider the contour graph and the three-dimensional graph for the function R, given below. What critical point is represented by the point A on the contour map?

Question

Quizplus · Accepted Answer

Point A is where two contour lines intersect, indicating that it is a critical point. Additionally, the contour lines on either side of point A are increasing in one direction and decreasing in the other, which is characteristic of a saddle point in the three-dimensional graph. Therefore, the best choice is B, saddle point.

Consider the Contour Graph and the Three-Dimensional Graph for the Function