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What is the meaning of F (x + 1) in the mathematical function of grade one in senior high school
Adding and subtracting a constant in brackets is the left-right translation of the function image in geometric sense, that is, the function f (x) is translated one unit to the left (left plus right subtraction);
In the algebraic sense, that is to say, if the corresponding relation of the function is not changed, all the values on the x-axis are added by 1
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- 1. If f (x) is an increasing function defined on (0, positive infinity), and f (XY) = f (x) + F (y) If f (x) is an increasing function defined on (0, positive infinity), and f (XY) = f (x) + F (y) If f (radical 3) = 1, the inequality f (2x + 1) + F (x) < 2 is solved Ask detailed process! Thank you! Very urgent!
- 2. What does the mathematical function y = f (x) mean?
- 3. If f (x) = the square of X + BX + C, and f (1) = 0, f (3) = 0, find the value of F = (- 1) Use Chinese characters to express the idea of solving the problem, write it clearly, and adopt it immediately if it is correct!
- 4. It is known that f (x) = | x + 1 | + | x + 2 | + +|x+2007|+|x-1|+|x-2|+… +|X-2007 | (x ∈ R), and f (a2-3a + 2) = f (A-1), then the value of a has () A. 2 b. 3 C. 4 d. countless
- 5. The known function f (x) = x ^ 2 + C..] Let f (x) = x ^ 2 + C and f [f (x)] = f (x ^ 2 + 1), where C is a constant Let g (x) = f [f (x)] and find the analytic expression of G (x)
- 6. If f (SiNx) = sin2x-sin3x, then f (cosx)= I just learned some formulas of induction function,
- 7. Finding f (cosx) by knowing f (SiNx) = sin3x RT
- 8. It is known that SiNx + cosx = - 1 / 5 (135 °)
- 9. What is the range of the function y = negative x + 4x + 1, X ∈ (0,3)
- 10. Find the function range: y = 2x-4x-2, X belongs to (- 1 / 2,2)
- 11. Given the image of quadratic function through the origin and point... Mathematical problems Given that the image of a quadratic function passes through the origin and points (- 1 / 2, - 1 / 4), and the distance between the image and another intersection of X axis and the origin is 1, then the analytic expression of the quadratic function is obtained_______ I'm previewing. Please tell me the process Thank you.
- 12. For example, if we know that the quadratic function f (x) satisfies f (x + 1) - f (x) = 2x, f (0) = 1, we can find the analytic expression of F (x)
- 13. Given f (x) = 2Sin (2x + π / 3) + 1, find the minimum positive period and maximum value of F (x) and the value of X at this time
- 14. The minimum positive period of the function f (x) = 1-2sin2x is______ ．
- 15. The function f (x) = 2Sin [(1 / 3) x + a] x belongs to R, - Wu / 2
- 16. Given [- 2,3] of the domain of the function y = f (x + 1), then the domain of y = f (2x-1) is?
- 17. The odd function FX defined on R When x > 0, FX = X-2 (1) The analytic expression of FX on R is written by piecewise function; (2) Finding the inequality FX
- 18. Equation: two of X 2-A ax + 4 = 0 are greater than 1, find the value range of real number a
- 19. A problem of mathematical function in grade one of senior high school The known function f (x) = (- ax ^ 2 + ax + 1) / 2x, X ∈ [1, + ∞) (1) When a = - 2, find the minimum value of function f (x) (2) If f (x) > 0 holds for any x ∈ [1, + ∞), try to find the value range of real number a
- 20. If the function f (x) defined on R + satisfies f (x) + F (y) + 2XY (XY) = f (XY) / F (x + y) for any x, y ∈ R +, then f (2)=______