As shown in the figure, it is known that the image of the inverse scale function Y1 = K1X and the image of the primary function y2 = k2x + B intersect at two points a and B, and a (2, n), B (- 1, - 2). (1) find the relationship between the inverse scale function and the primary function; (2) use the image to write directly when x is in what range, Y1 > Y2

As shown in the figure, it is known that the image of the inverse scale function Y1 = K1X and the image of the primary function y2 = k2x + B intersect at two points a and B, and a (2, n), B (- 1, - 2). (1) find the relationship between the inverse scale function and the primary function; (2) use the image to write directly when x is in what range, Y1 > Y2

(1) ∵ hyperbola Y1 = K1X, passing through point (- 1, - 2), ∵ K1 = - 1 × (- 2) = 2. ∵ hyperbola Y1 = 2x, passing through point (2, n), ∵ n = 1. From line y2 = k2x + B, passing through point a, B, we get 2k2 + B = 1 − K2 + B = − 2, and K2 = 1b = − 1