When - 3 ≤ x ≤ 3, find the maximum and minimum value of the function y = x ^ 2-2x-3
Ymin = - 4 when y = (x-1) ^ 2-4 and x = 1
When x = - 3, ymax = 12
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- 1. A good God in solving a mathematical problem helps to find the maximum and minimum value of the known function f (x) = x2-2x + 3 on [a, a + 3] I have the answer. I will discuss it in four intervals, but I don't know where the boundary of minus half comes from The four intervals are (negative infinity, - 2) [- 2, negative half] (negative half, 1)] (1, positive infinity) How did that negative half come from? (X2 is the square of x)
- 2. Given x ^ 2 + XY + y ^ 2 = 1, find the maximum and minimum of u = x ^ 2 + y ^ 2 ^The second power of X, for example
- 3. The known function (x) = sin (2x Pai / 6) + cos ^ 2x. (1). If f (x) = 1, find the value of sinacosa. (2) Known function (x) = sin (2x Pai / 6) + cos ^ 2x (1) If f (x) = 1, find the value of sinacosa (2) How to find the monotone increasing interval of function f (x)?
- 4. -1 / (1 * 3), 1 / (2 * 4), - 1 / (3 * 5), 1 / (4 * 6)
- 5. 57 of a number is 920, and this number is 920______ .
- 6. Let the density function f (x) of the random variable X be a continuous function and its distribution function f (x), then 2F (x) f (x) is a probability density function
- 7. 13 17 19 21=( )X( )=( )
- 8. What does it mean that the area of a big circle is divided equally by a small circle
- 9. Divide the ten meter long rope into three parts, each part is a fraction of the total length, and each part is a fraction of the length
- 10. 12 kg 500 g is equal to how many G?
- 11. If x > 0, the maximum value of y = 4-2x-x is 0
- 12. The number of zeros of function f (x) = x2-2x + 3 is () A. 0B. 1C. 2D. 3
- 13. It is known that the odd function f (x) = x ^ 3 + ax ^ 2 + BX + C is an increasing function defined on [- 1,1] It is known that the odd function f (x) = x ^ 3 + ax ^ 2 + BX + C is an increasing function defined on [- 1,1] 1 find the value range of real number B; 2 if B2 TB + 1 ≥ f (x) is constant for X ∈ [- 1,1], find the value range of real number t
- 14. The odd function y = f (x) is a decreasing function defined on (- 2,2), if f (m-1) = f (2m = 1) > 0 What is the range of M? As long as it turns out
- 15. The function y = 4x + B, the area of the triangle formed by its image and two coordinate axes is 16, then the value of B is_____ . The function y = 4x + B, the area of the triangle formed by its image and two coordinate axes is 16, then the value of B is_____
- 16. In the intersection of the image of the function y = - 5 / 2Sin (4x + 2 π / 3) and the X axis, the closest point to the origin is 4X + 2 π 3 = k π, why is it equal to K π,
- 17. Let f (x) be a function defined on the real number set R and satisfy f (x + 2) = f (x + 1) - f (x). If f (1) = Lg3 / 2, f (2) = LG15, find f (2001)
- 18. Let f (x) be a function defined on the real number set R and satisfy the following conditions: F (x + 2) = f (x + 1) - f (x). If f (1) = Lg3 / 2, f (2) = LG15, find f (2004) Please! I'm very polite!
- 19. The function f (x) defined on R satisfies the following conditions: F (x) + F (- x) = 2 pairs of non-zero real numbers x, all of which have 2F (x) + F (1 / x) = 2x + 1 / x + 3. (1) find the analytic expression of F (x) The function f (x) defined on R satisfies the following conditions: F (x) + F (- x) = 2 pairs of non-zero real numbers x, all of which have 2F (x) + F (1 / x) = 2x + 1 / x + 3. (1) find the analytic expression of F (x) (2) Let f ^ 2 (x) - 2x under the function g (x) = root sign, y = 2 ^ (1 / 2) N-X and y = G ^ - 1 (x) respectively The function f (x) defined on R satisfies the following conditions: F (x) + F (- x) = 2 pairs of non-zero real numbers x, all of which have 2F (x) + F (1 / x) = 2x + 1 / x + 3. (1) find the analytic expression of F (x) (2) Let f ^ 2 (x) - 2x under the function g (x) = root sign, y = 2 ^ (1 / 2) N-X and y = G ^ - 1 (x) respectively Let an be the length of anbn and Sn be the sum of the first n terms of the sequence {an}. When n is greater than or equal to 2, the square of Sn is greater than 2 (S2 / 2 + S3 / 3 +...) +Sn/n)
- 20. The increasing function f (x) defined on R + satisfies that f (x / y) = f (x) - f (y) holds for any x, y ∈ R + 1. Find f (1) (solved) the answer is 0 2. F (4) = 1, solving inequality: F (x + 6) - f (1 / x)