The range of function f (x) = (sinx-2) / (SiNx + 1) is

The range is (negative infinity, - 1 / 2]
f(x)=(sinx-2)/(sinx+1)=1-3/(sinx+1)
-1

RELATED INFORMATIONS

1. It is known that the function f (x) whose domain is r decreases monotonically in the interval (- ∞, 5). For any real number T, f (5 + T) = f (5-T), then the following formula must be true () A. f（-1）＜f（9）＜f（13）B. f（13）＜f（9）＜f（-1）C. f（9）＜f（-1）＜f（13）D. f（13）＜f（-1）＜f（9）
2. It is known that the function f (x) whose domain is r decreases monotonically in the interval (- ∞, 5). For any real number T, f (5 + T) = f (5-T), then the following formula must be true () A. f（-1）＜f（9）＜f（13）B. f（13）＜f（9）＜f（-1）C. f（9）＜f（-1）＜f（13）D. f（13）＜f（-1）＜f（9）
3. We know that the function f (x) whose domain is r decreases monotonically on (- ∞, 5). For any real number T, f (5 + T) = f (5-T), then f (- 1), f (9), f (- 13) are of the same size
4. Given that the function FX of the domain of definition in R decreases monotonically in the interval (from negative infinity to 5), for any real number T, f (5 + T) = f (5-T) f-1
5. It is known that the function f (x) whose domain is r decreases monotonically in the interval (- ∞, 5). For any real number T, f (5 + T) = f (5-T), then the following formula must be true () A. f（-1）＜f（9）＜f（13）B. f（13）＜f（9）＜f（-1）C. f（9）＜f（-1）＜f（13）D. f（13）＜f（-1）＜f（9）
6. If the domain of definition of function f (x) is r, for any real number a B, f (a + b) = f (a) * f (b), Let f (1) = k find f (10)
7. If f (lgx) > F (1), then the value range of real number x is () A. （110，1）B. （0，110）∪（1，+∞）C. （110，10）D. （0，1）∪（10，+∞）
8. Given the function f (x) = 2ax-x3, a ＞ 0, if f (x) is an increasing function on X ∈ (0,1], find the value range of A
9. Given the function f (x) = LNX, G (x) = 1 / 2aX & # 178; + 2x, a ≠ 0. (1) if the function H (x) = f (x) - G (x) has monotone decreasing interval, find the value range of a; (2) if the function H (x) = f (x) - G (x) [1,4], find the value range of A Find the monotone interval of y = x √ (ax-x & # 178;) (a > 0)
10. Some derivative problems of mathematical function in Senior Two (1) The monotone interval of y = 1 / (x + 1) is determined by derivative (2) F (x) = (x ^ 2-3 / 2x) e ^ x increasing function interval
11. Function f (x) is defined as R, satisfying f (x) = f (14-x), equation f (x) = 0 has n real roots, the sum of these n roots is 2009, then n is to process, fast
12. Given the function f (x) = (x ^ 2-3x-2) g (x) + 3x-4, where g (x) is a function whose domain is r, it is proved that the equation f (x) = 0 must have real roots in (1,2)
13. If the function f (x) satisfies f (x + 3) = f (- x + 5) in its domain of definition, and the equation f (x) = 0 has five unequal real roots, find these five roots Find the sum of the five real roots
14. It is known that M is a set of all functions f (x) satisfying the following properties. For function f (x), Let f (x) be a set of any two self-sufficient functions in the domain of F (x) It is known that M is a set of all functions f (x) satisfying the following properties (x) For any two independent variables X 1.x 2 in the domain, | f (x 1) - f (x 2) | ≤| x 1-x 2 | holds 1. Given that the function g (x) = ax ^ 2 + BX + C belongs to m, write the conditions that real numbers a, B, C must satisfy 2. For the element H (x) = √ (x + 1) of set M, X ≥ 0, find the minimum value of constant K satisfying the condition
15. It is known that a set M is a set of all functions f (x) which satisfy the following properties: for function f (x), any two different independent variables X1 and X2 in the domain of definition have | f (x1) - f (x2) | ≤| x1-x2 | (1) judge whether the function f (x) = 3x + 1 belongs to set M? (2) if G (x) = a (x + 1 x) belongs to m on (1, + ∞), find the value range of real number a
16. Let m be a set of functions f (x) which satisfy the following properties: in the domain of definition, in x0, f (x0 + 1) = f (x0) + F (1) holds. The following functions are known: ① f (x) = 1x; ② f (x) = 2X; ③ f (x) = LG (x2 + 2); ④ f (x) = cos π x, where the function belonging to the set M is () A. ①③B. ②③C. ③④D. ②④
17. If the function f (x) defined on R is an odd function with period 2, then the equation f (x) = 0 has at least several real roots on [- 2,2]? Please explain in detail
18. Given that the function f (x) = x + m / x, and the function image passes through the point (1,5), what is the value of the real number m
19. If the function f (x) has f (a + x) = - f (A-X) for all real numbers in the domain of definition, then the image f (x) of the function is a centrosymmetric graph whose center of symmetry is
20. If the image of function y = A-X / x-a-1 is symmetric with respect to point (4, - 1), what is the value of real number a?