Function problem, do me a favor Is y = 3 a positive proportional function? Explain why

The definition of positive proportion function is y = KX! This is not called positive proportion function, constant value function!

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1. Simple secondary function problem. Do me a favor~ Known parabola y = - 2x ^ 2-3 When x_______ Y increases with the increase of X; When x_______ Y decreases with the increase of X Then why can't we say it is: When x ≤ 0, y increases with the increase of X; When x ≥ 0, y decreases with the increase of X? That's why we can't include "0"?
2. Who can help me with this problem It is known that if the inverse scale function of points a (4, m) and B (- 1, n) is y = 8 / X on the image, if point D is on the Y axis and Da = dB, (1) find the coordinates of two points a and B; (2) find the coordinates of point D emergency
3. Two methods of solving function For example, f (x + 1) = x ^ 2, how does f (x) = (x + 1) ^ 2-2 (x + 1) + 1 come from
4. The solution of analytic formula of higher one function F (x + 1) = x-3x + 2
5. Solving function analytic expression by function equation method f（x）+f(3x)=3x What is the basis of F (3x) + F (x) = x
6. Senior one mathematics [function & equation] Given that the two equations x ^ 2 + BX + 1 = 0 are α, β (α ≠ β), then the two equations x ^ 2 + (b-2) X-B are_________ .
7. Solving function analytic expression by equation method Given that f (x) satisfies 2F (x) + F (1 / x) = 3x, find f (x) I don't understand why f (x) = 3 / x-2f (1 / x),
8. The elimination method of solving function in senior one If f (x) satisfies the equation AF (x) + F (1 / x) = ax, X ∈ R, X ≠ 0, a is a constant, a ≠± 1, then f (x)=__ Solution: using the elimination method ∵ AF (x) + F (1 / x) = ax If x is replaced by 1 / x, then 1 / X is replaced by X The following is omitted I just want to ask why it can be converted That's not waiting After the transformation, a system of equations is formed with the first equation. I'll try again. It can't be solved at all. I'm looking for advice from experts.
9. The fixed cost of producing a certain product in a factory is 20 million yuan, and the cost increases by 100000 yuan for each unit of product. We also know that the total revenue K is a function of the number of unit products Q, and K (q) = 40q-120q2, then the maximum value of total profit L (q) is______ ．
10. The problem of function representation 1. Given that the quadratic function f (x) satisfies f (x + 2) - f (x) = 4x + 6 and f (0) = 1, find the analytic expression of F (x) 2. Let f (x) = x / (x ^ 2 + 1), then f (1 / x) equals 3. Let y = (m-1) x ^ (m ^ 2 + m) + MX + 3 be a quadratic function with independent variable x, then M= 4. Given that the function y = f (x) satisfies f (x) = 2F (1 / x) + X, find the analytic formula of F (x) 5. Find the first-order function f (x) so that f {f [f (x)]} = 8x + 7 The solution is similar: F (f (x)) = 4x-1 f(x)=x (there is no need to find out the exact value of x)
11. If AB + C = Ba + C = Ca + B = k, then the line y = KX + 2K must pass () A. Quadrant 1 and 2 b. quadrant 2 and 3 C. quadrant 3 and 4 d. quadrant 1 and 4
12. (1) Given that the definition field of function f (x) = LG (a (the square of x) + ax + 1) is r, the value range of real number a is obtained; (2) given that the value range of function f (x) = LG (a (the square of x) + ax + 1) is r, the value range of real number a is obtained;
13. Given that f (√ x + 1) = x + 2 √ x, try to determine the analytic formula F (x) Why can the number of substitution be directly converted to x?
14. 1. If the domain of definition of function f (x) = quadratic radical (AX + 2) is (- ∞, 1], find the real number a 2. If the function f (x) = quadratic root sign (AX + 2) is significant in (- ∞, 1], find the real number a 3. If the domain of definition of function f (x) = quadratic root (AX & sup2; + BX + C) is [1,3], find the domain of definition of function f (x) = quadratic root (BX & sup2; - ax + C) I don't understand very well. It's better to have explanation and steps,
15. In order to know three points a (1,2), B (4,1), C (3,4), take a point P on the line AB so that the line PQ passing through P and parallel to BC divides the triangle ABC into two parts: the triangle Apq and the quadrilateral pqcb, and their area ratio is s Triangle APQ:S Quadrilateral pqcb = 4:5, find the coordinates of point P There is no picture for this problem. I have to draw it myself. But I don't know how to do it. I want to get the process.
16. If the function y = (2k + 1) x + B is a decreasing function on a real number set, then () A. k＞-12B. k＜-12C. b＞0D. b＜0
17. Is f (x) = h * TaNx + Y / SiNx an increasing or decreasing function Domain 45=
18. Let f (x) be a positive real number and f (1 / 2) = 12. For any real number x and y, f (XY) = f (x) + F (y) 3. F (x) is a decreasing function 1) Find the values of F (1 / 4), f (1 / 8), f (1), f (2), f (4) 2) Solution to inequality; f (- x) + F (3-x) ≥ - 2
19. Additional score 150 points! ~ mathematical emperor to answer! About the score to find the law! Challenge the limit! Kneel` 1 × 1 / 3 = 1 / 2 * (1-1 / 3), 3 × 1 / 5 = 1 / 2 * (1 / 3-1 / 5), 5 × 1 / 7 = 1 / 2 * (1 / 5-1 / 7) It can be calculated according to the observation: 1 × 1 / 3 + 3 × 1 / 5 + 5 × 1 / 7 + +2009 × 2011 1 / 2 =? (urgent, kneel down, tonight! Tell me the law, write down the law in the form of algebra! And the answer) good answer, timely answer, add score 200!
20. How to find the law of mathematical score 4 / 5 / 25 / 1 () 1 / 20 () ()