If the image of the first-order function is parallel to the straight line y = - 5x, and the image of the cross inverse scale function y = - 4 / X is at the point (2, m), then M =, the analytic expression of this function is

If the image of the first-order function is parallel to the straight line y = - 5x, and the image of the cross inverse scale function y = - 4 / X is at the point (2, m), then M =, the analytic expression of this function is

Take (2, m) into the inverse scale function y = - 4 / X
Find M
Finding the analytic expression of function
Let's first set up the analytic expression of this function
It is parallel to the line y = - 5x
Then the coefficient of the first row of this function is the same
It can be set as y = - 5x + B
The analytic expression of this function can be obtained by taking the calculated (2, m) point in

The image of the first-order function y = 0.5x-2 is a straight line m, which intersects with X axis and Y axis at points a and B respectively
If the triangle with points P, O and C as its vertex is similar to the triangle with points a, O and B as its vertex, the coordinate of point C is

A triangle with vertices P, O and C is similar to a triangle with vertices a, O and B,
It means that the line n is parallel or perpendicular to the line m, and the line n intersects with the positive half axis of the Y axis, which means that the resolution of the line n is negative, so that the case of two parallel lines is excluded,
If the slope of line m is 0.5, then the slope of line n is - 2,
Let the equation of the line n be y = - 2x + B, and substituting point P into the solution, B = 6
So the coordinates of C are (0,6)

When the first-order function is larger than the inverse scale function, what is the position relationship between their images and why
ditto

From the image, the straight line is above the hyperbola

Inverse scale function to see the image inverse scale function is greater than a function method detailed

For example, if y = m / X and y = KX + B pass through a (1,2), B (- 2, - 1), when x takes what value, the value of the inverse proportion function is greater than the value of the first-order function. 1, pay attention to the increase and decrease of the function. By the undetermined coefficient method, y = 2 / X and y = x + 1, the coefficient of the inverse proportion function is greater than 0, y decreases with the increase of X, the coefficient of the first-order function independent variable is greater than 0, y increases with the increase of X. the image of the inverse proportion function is infinitely close to the coordinate axis, In this problem, when the hyperbola intersects a (1,2) in the first quadrant, that is, x = 1, the values of two functions are equal. When 0 ＜ x ＜ 1, the inverse proportional function (from the intersection to the left) is greater than the first-order function. Similarly, in the third quadrant, the intersection is B (- 2, - 1). When x = - 2, the values of two functions are equal. When x ＜ - 2, the inverse proportional function is greater than the first-order function, The value of inverse proportion function is greater than that of primary function. You can draw another example for yourself

How to write out the value range of X whose primary function value is greater than (or less than) the inverse proportion function value according to the image (details)

Find the range of X corresponding to the part of a function above (or below) the inverse scale function

How to find the value of X when the value of inverse proportion function is greater than that of primary function on the image of an inverse proportion function and a primary function

First, find out the intersection of two functions, and then judge which quadrant the inverse proportion function is in,
If it's in quadrant one or three, then X

Given that y = (M + 1 / 2) x + 3-m is a linear function, then the value range of M is (). If the function is a positive proportion function, then the value of M is (), and its analytical formula is

(1) If M is a linear function, then M + 1 / 2 ≠ 0, that is m ≠ - 1 / 2;
(2) It is a positive proportional function, M + 1 / 2 ≠ 0, and 3-m = 0, M = 3; y = 7x / 2

The function y = (m-2) x ^ (m ^ 2-15) + N + 6 is a positive proportional function, and Y decreases with the increase of X. the value of M and N can be obtained

m^2-15=1,n+6=0,m-2

Given the function y = (M-3) x + 2n, when m.n satisfies what conditions, (1) is it a linear function? (2) is it a positive proportional function?

(1) When m is not equal to 3, it is a linear function; (2) when m is greater than 3 and N = 0, it is a positive proportional function

Y = (m-2) x's 2n + 1 power - M + n is a positive proportion function. What are the conditions for M and N? Please add 50 points

Y = KX (the highest order is once and there is no constant term)
k≠0
2n+1=1
n=0
-m+n=0
-m=0
m=0
Don't know how to ask me