Puzzle 1

Puzzle 1
Study pages: pages 805-815

Let ( , ) = −

a) Describe the cross-section of ( , ) with y fixed and then with x fixed. Use these cross-
sections to describe the shape of the graph of ( , ).

b) Draw a contour diagram of ( , ) for −3 ≤ ≤ 3 − 3 ≤ ≤ 3. Then, relate the
contour diagram to the graph of ( , ).

Prior knowledge: Definition of a real function of one variable, sketch a graph of the function and
trace of quadric surfaces.