Consider the function below a Match the function with its gr

Consider the function below

(a) Match the function with its graph (labeled A-F).

(b) Match the function with its contour map (labeled I-VI).

Give reasons for your choices.

This function is  ---Select--- zero linear parabolic periodic in both x and y, and the function is  ---Select--- the same not the same when x is interchanged with y, so its graph is  ---Select--- not symmetric symmetric about the plane y =  . In addition, the function is  ---Select--- zero linear parabolic periodic along the x- and y-axes. These conditions are satisfied only by  ? A B C D E F and  ? I II III IV V VI .

Please, solve them all.

Solution

Solutions :

(a) C

(b) II

Reasons : This function is periodic in both x and y, and the function is the same when x is interchanged with y, so its graph is symmetric about the plane y = x. In addition, the function is zero along the x- and y- axes. These conditions are satisfied only by C and II .