From the perspective of image, the relationship between inverse scale function and y = ax + B / (Cx + D) function is analyzed

From the perspective of image, the relationship between inverse scale function and y = ax + B / (Cx + D) function is analyzed


Y = ax + B / CX + D can be reduced to y = A / C + [(BC AD) / C ^ 2] / (x + D / C), which can be regarded as the absolute value unit of y = K / X moving D / C to the left or right, and the absolute value unit of a / C moving up or down



If the image of function y = ax ^ 3 + BX ^ 2 + CX passes through point a (1,4), when x = 2, this function has extreme value 0, then a =, B =, C=


Substitute a for a to get a + B + C = 4
When x = 2, y = 0 is the extremum, so 0 = 8A + 4B + 2C
When x = 2, y '= 0, so 0 = 12a + 4B + C
Three formulas calculate a = 4, B = - 16, C = 16