Consider the function below (a) Match the function with its graph (labeled A-F).
ID: 3404687 • Letter: C
Question
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.
Explanation / Answer
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 .