If all of the contours of a function f(x, y)are parallel lines, then the function must be linear.

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Quizplus · Accepted Answer

If all contours of a function f(x, y) are parallel lines, it indicates that the function changes at a constant rate in a specific direction, but this does not necessarily mean the function is linear. Non-linear functions can also have contours that are parallel lines, such as f(x, y) = ax + by + c, where a, b, and c are constants, and the function represents a plane, or more complex functions where the rate of change in one direction is constant.

If All of the Contours of a Function F(x, Y)are