Given that the minimum value of F (x) = x2 + 2 (A-1) x + 2 in the interval [1,5] is f (5), then the value range of a is______ ．

The symmetry axis of function f (x) is x = − 2 (a − 1) 2 = 1-A, f (x) monotonically decreases on (- ∞, 1-A), monotonically increases on (1-A, + ∞), the minimum value on interval [1,5] of F (x) is f (5), monotonically decreases on interval [1,5], a ≤ - 4 is obtained

RELATED INFORMATIONS

1. We know the function y = (2-m) x + 2m-3. When m is the value of (1) this function is a linear function? (2) Is this function a positive scale function?
2. Given the function y = (2m-3) x + m + 2. (1) if the function image passes through the origin, find the value of M. (2) if the function image passes through the point (- 1,0), find the value of M. (3) The function y = (2m-3) x + m + 2 is known. (1) if the function image passes through the origin, find the value of M. (2) if the function image passes through the point (- 1,0), find the value of M. (3) if the function image is parallel to the straight line y = - x + 2, find the value of M. (4) if the function image passes through the first, second and fourth quadrants, find the value range of M
3. Given the function y = (2m-1) x + m + 3, ask the function to pass through the origin and find the value of M
4. It is known that the function y = (2m-8) x is m2-4m + 3 power. 1. When m takes any value, it is a positive proportional function. 2. When m takes any value, it is a positive proportional function It's an inverse scale function
5. The function y = (1-2m) x + M-1 is known. When m takes what value, the function is a positive proportional function? When m takes what value, the function is a linear function?
6. Given that the images of the function y = (A-2) x ^ 2 + 2 (A-4) x-4 are all above the x-axis, can you give me a detailed answer
7. The following equation is a linear equation of one variable about X. find the value of K Square of (k-1) x + (K-2) x + K-3 = 0 (k-1) x + 3 = 0 The K-2 power of X + 3 (K-4) = 0 The square of K power of X + 7 = 0
8. (K's Square-1) x's Square - (K + 1) x + 8 = 0 is a one variable linear equation about X. find the value of 2014 (4k-x) (x-2012k) + 2014k
9. The square of (k-1) x + X-1 = 0 is a linear equation with one variable, k =?
10. On the linear equation of one variable (k-1) x = 4 of X The solution of K is an integer
11. Given that the minimum value of F (x) = x2 + 2 (A-1) x + 2 in the interval [1,5] is f (5), then the value range of a is______ ．
12. If the minimum value of function f (x) = 4x ^ 2-4ax + A ^ 2-2a + 2 in the interval [0,2] is 3, find the value of A I can't ask. Please explain exactly step by step and pray for the answer!
13. The function f (x) = 4x ^ 2-4ax + A ^ 2-2a + 2 has the minimum value of 3 in the interval [0,2], and the value of a is obtained
14. Given that the function f (x) = 4x ^ 2-4ax + A ^ 2-2a + 2 has the minimum value 3 in the interval [0,2], find the value of A Don't Scribble if you can't do it, so as not to influence others to help me solve the problem
15. If the quadratic function f (x) = - 4x ^ + 4ax-4a-a ^ has a minimum value of - 5 in [0,1], find the value of real number a, and 0 and 1 are also in the range, the brackets will not be opened Why is a = 1 substituted? I don't know whether the axis of symmetry is in the middle or on both sides of 0,1. It is also possible that (0,1 〉 is within the play range where x is greater than or equal to 0 and less than or equal to 1
16. It is known that f (x) is an odd function defined on (- 1,1), which decreases monotonically on the interval [0,1], and f (1-A) + F (1-A & sup2;) < 0. The value range of real number a is obtained
17. Given that the even function f (x) decreases monotonically on [2,4], then the relation between the magnitude of F (8 of Log1 / 2) and f (- π) is
18. If we know that even function f (x) is monotonically increasing on [0, π], then the size relation among f (- π), f (π / 2) and f (- 2) is obtained
19. It is known that F & nbsp; (x) is an even function on R and increases monotonically on (0, + ∞), and F & nbsp; (x) < 0 holds for all x ∈ R. try to judge the monotonicity of − 1F (x) on (- ∞, 0) and prove your conclusion
20. Given that the even function f (x) increases monotonically on [1,4], then the relation between F (- Π) and f (log2 bottom (1 / 8)) is?