If the function f (x) defined on R satisfies f (x + y) = f (x) + F (y) + 2XY (x, y belongs to R), f (1) = 2, then f (- 2) is equal to
According to the meaning of the question, f (0 + 1) = f (0) + F (1), so f (0) = 0
F (0) = f (- 1 + 1) = f (- 1) + F (1) + 2 * (- 1) * 1, so f (- 1) = 0
f(-2)=f(-1-1)=f(-1)+f(-1)+2*(-1)*(-1)=2
RELATED INFORMATIONS
- 1. If f (x) defined on R satisfies f (x + y) = f (x) + F (y) + 2XY (x, y ∈ R), f (1) = 2, then f (- 3) is equal to () A. 2B. 3C. 6D. 9
- 2. Let f (x) = (2x + 3) / (x-1) (x is not equal to 1), the image of function y = g (x) and the image of function y = F-1 (x + 1) be symmetric with respect to the straight line y = x, then G (3) is obtained
- 3. Given the function f (x) = 2 ^ x + 2 ^ (AX + b), and f (1) = 5 / 2, f (2) = 17 / 4 (1) Find the value of a and B (2) judge the parity of F (x) (3) try to judge the monotonicity of F (x) on [negative infinity, 0] and prove it; (4) find the minimum value of F (x)
- 4. In the regular tetrahedron ABCD, e and F are the midpoint of AC and CD respectively, and the cosine value of the angle formed by the lines be and AF on the different planes is calculated
- 5. If the area of the trapezoid is 48 square centimeters and its height is 6 centimeters, and its bottom is 1 centimeter less than twice that of the top, then what is the top and bottom of the trapezoid?
- 6. If ABC = 1, then the value of AAB + A + 1 + BBC + B + 1 + CCA + C + 1 is () A. 1B. 0C. -1D. -2
- 7. Why is it that the rounder the moon, the fewer stars there are
- 8. In a 1:500 scale plan, the perimeter of a rectangular classroom is 10cm, and the ratio of length to width is 3:2 2. Write the ratio of the area on the graph to the time area, and compare it with the scale. What do you find?
- 9. The application of mathematical equation of one variable and one degree (Grade 6 of middle school) gives high marks During the "June 1" period, when a certain kind of children's clothing is sold in a shopping mall, it can make a profit of 45 yuan per piece. If it is sold at a 15% discount, the profit of each piece is 30 yuan less than that of the original one. How much is the purchase price of this children's clothing? On the application of linear equation of one variable
- 10. Are line segments and angles axisymmetric?
- 11. If f (x) defined on R satisfies f (x + y) = f (x) + F (y) + 2XY (x, y ∈ R), f (1) = 2, then f (- 3) is equal to () A. 2B. 3C. 6D. 9
- 12. If f (x) defined on R satisfies f (x + y) = f (x) + F (y) + 2XY (x, y ∈ R), f (1) = 2, then f (- 3) is equal to () A. 2B. 3C. 6D. 9
- 13. If f (x) defined on R satisfies f (x + y) = f (x) + F (y) + 2XY (x, y ∈ R), f (1) = 2, then f (- 3) is equal to () A. 2B. 3C. 6D. 9
- 14. Absolute value of piecewise function in senior one
- 15. The picture and drawing method of absolute value function in grade two y=|x| y=2|x| y=-5|x| y=|x+3| y=|x|-4 y=|x+5| y=|x-6| y=-5|x|+3 y=5|x|-3 It's OK to talk about the method. How many can you write~
- 16. Drawing method of image with absolute value How to draw the image when f (x) has absolute value? How to draw an image with absolute value of independent variable x?
- 17. Find the value range of the independent variable x in the following functions (1) y = x & # 178; - X-2 (2) y = 3 / 4x-5 (3) y = radical (x + 3) Find the value range of the independent variable x in the following functions (1)y=x²-x-2 (2)y=3/4x-5 (3) Y = radical (x + 3)
- 18. The range of independent variable X of function y = root 4x-1 / 2 is
- 19. 6. In the function y = 1 / radical 12-4x, the value range of the independent variable x is? It's a process!
- 20. Find the value range of independent variable x in the following function y = 4x ^ 2 + 3x-5 Find the value range of the independent variable x in the following functions 1.y =4x^2+3x-5 2.y =(1+2x) / 1+x-6x^2 3.y = √5+3x 4.y =1 / √2x-1