Find the minimum value of the function f (x) = x2 + ax + 3 in the interval - 1,1 The expression "includes - 1 and 1

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• 1. Given the function f (x) = x2 + ax + 2, find the function analytic formula of the minimum value g (a) of function f (x) in the interval [- 2,2], and get the And find the maximum value of G (a)
• 2. Given that the sum of the maximum and minimum value of the function y = ax (A & gt; 0 and a ≠ 1) on [1,2] is 20, Let f (x) = ax + 2. (1) find the value of a; (2) prove that: F (x) + f (1-x) = 1; (3) find f (12013) + F (22013) + F (32013) + +F (20102013) + F (20112013) + F (20122013)
• 3. Given the function f (x) = (1 / 4 ^ x) - (1 / 2 ^ x) + 1, X ∈ [- 3,2], find the maximum and minimum of F (x)
• 4. Given the function f (x) = - 2 / (x-1), X ∈ {2,3}, find the maximum and minimum of the function
• 5. It is known that the maximum value of y = a-bcos (3x - π / 2) is 6 and the minimum value is - 2
• 6. It is known that the function f (x) = 2asin (2x-3 parts) + B defined on [0,2 parts] has the maximum value of 1 and the minimum value of - 5. The values of a and B are obtained
• 7. It is known that the maximum value of y = a-bcos2x (b > 0) is 3 / 2 and the minimum value (- 1 / 2). The period, the maximum value and the maximum value of y = - 4asin (3bx + Pai / 3) are obtained
• 8. If the sum of the maximum and minimum values of the function f (x) = a ^ x (a > 0, a ≠ 1) on [0,1] is 3, then a is equal to
• 9. If a cubic function has a maximum value of 4 when x = 1 and a minimum value of 0 when x = 3, and the function image crosses the origin, then the function is () A. y=x3+6x2+9xB. y=x3-6x2-9xC. y=x3-6x2+9xD. y=x3+6x2-9x
• 10. If the image of a function y = 2x + B passes through (- 1,1) points, then B is equal to 3? Point (- 1,1) is a function of degree passing by y = 2x + B
• 11. If a cubic function has a maximum value of 4 at x = 1 and a minimum value of 0 at x = 3, and the tangent function image passes through the origin, then the analytic expression of this function is obtained
• 12. Suppose that the cubic function f (x) = ax ^ 3 + BX ^ 2 + CX + D has a maximum 4 at x = 1 and a minimum 0 at x = 3, and the function image passes through the origin, the analytic expression of this function is obtained I don't think the answer is right. I want to find a positive solution. Don't copy it,
• 13. Given that the image of the function f (x) = AX3 + bx2 + CX + D (a ≠ 0) passes through the origin, f ′ (1) = 0, if f (x) reaches the maximum at x = - 1, 2. (1) find the analytic expression of the function y = f (x); (2) if f (x) ≥ f ′ (x) + 6x + m for any x ∈ [- 2,4], find the maximum of M
• 14. It is known that the maximum value of function f (x) = ax ^ 3 + BX ^ 2 + CX at point x0 is - 4, and the image of derivative function y = f (x) passes through (1,0) (2,0) Find (1) x0 =? (2) find the value of a, B, C?
• 15. Given the real number a ≠ 0, the function f (x) = ax (X-2) ^ 2 (x belongs to R) (1). If the function f (x) has the maximum value 32 | 27, find the value of A (2) If the inequality f (x) < 32 holds for any x, the value range of a is obtained
• 16. Given the function y = ax ^ 3 + BX ^ 2, when x = 1, there is a maximum of 3. Find (1) the analytic expression of the function and write his monotone interval (2) to find the maximum and minimum of the function on [- 2,1]
• 17. If f (x) = x ^ 3 + ax ^ 2 + BX + 27 has a maximum at x = 1 and a minimum at x = 3, then a-b=
• 18. If f (x) = x ^ 2-2 / 3x-k has zero on [- 1,1], then the value range of real number k I want a detailed process... Don't just give me an answer
• 19. If the function f (x) = x ^ 2-3x-k has zeros on (- 1, 1), then the value range of K
• 20. If M belongs to R X1 and X2 are two zeros of the square of the function f (x) = x-2mx + 1-m, then the minimum value of the square of X1 plus the square of X2 is——————