Y = (m-2) x to the power of M + 1 + 3x is a positive proportion function, and finding the relationship of positive proportion function is a formula

Y = (m-2) x to the power of M + 1 + 3x is a positive proportion function, and finding the relationship of positive proportion function is a formula

It should be: y = (m-2) x to the power of M + 1 + 3x is a positive proportional function
So: y = (m-2) x ^ (M + 1) + 3x is a positive proportional function
So there are the following situations:
(1) M-2 = 0, that is, when m = 2, y = 3x
(2) M + 1 = 1, that is, when m = 0, y = - 2x + 3x = X

It is known that the quadratic function f (x) = ax ^ 2 + BX (a, B are constants, and a
And a is not equal to 0) satisfies: F (2) = 0, and the equation f (x) = x has two equal real roots
Q: the analytic expression of F (x)
Maximum and minimum values on [- 3, 3]
Whether there is a real number m, n (M is less than n), so that the definition field and value field of F (x) are [M, n] and [2m, 2n] respectively

a≠0
f(x)=ax^2+bx
Complete the specific questions
If you don't understand, I wish you a happy study!