The countour plot shown below on the right corresponds to th

The countour plot shown below on the right corresponds to the function of two variables shown on the left. [ Answer the true or false and justify your answer.

Solution

The contour plot on the right does not appear to match the function of two variables on the left. The countour plot shows a graph with symmetry with respect to the y-axis, but not the x-axis (assuming that these are variables the plot is graphed against). A close look at the function on the left shows that it is symmetric with respect to both the y-axis and the x-axis.

 The countour plot shown below on the right corresponds to the function of two variables shown on the left. [ Answer the true or false and justify your answer.

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