Given the positive scale function y = KX, (1) if the function image passes through the second and fourth quadrants, then the value range of K

Given the positive scale function y = KX, (1) if the function image passes through the second and fourth quadrants, then the value range of K

In the second quadrant and the fourth quadrant, the inverse scale function image has the following characteristics:
When x > 0, y < 0, the image is in the fourth quadrant
When x < 0, y > 0, the image is in the second quadrant
Therefore, the inverse scale function xy = k < 0
That is, when k < 0, the inverse scale function image is in the second and fourth quadrants