Match the function with its graph (labeled I- VI). Give reasons for your choices

Match the function with its graph (labeled I- VI). Give reasons for your choices.

a) f(x, y) = 1 / 1 + x2 + y2
b) f(x, y) = 1 / 1 + x2y2
c) f(x, y) = ln(x2 + y2)
d) f(x, y) = cos √x2 + y2
e) f(x, y) = (x2 - y 2)2
f) f(x, y) = cos(xy)