Is the point and on the contour graph below a relative maximum point, a relative minimum point, or a saddle point?

Question

Is the point  and  on the contour graph below a relative maximum point, a relative minimum point, or a saddle point?

Quizplus · Accepted Answer

The point is at the intersection of two curves on the contour graph, which suggests that it is a saddle point. At a saddle point, the surface curves upwards in one direction and downwards in another direction. Therefore, it is neither a relative maximum nor a relative minimum.

Is the Point and on the Contour Graph