It is known that f (x) is an odd function defined on (- ∞, + ∞), and f (x) is a decreasing function on [0, + ∞) A. f(5)>f(-5)B. f(4)>f(3)C. f(-2)>f(2)D. f(-8)=f(8)
∵ odd function f (x) is a decreasing function on [0, + ∞), and ∵ f (x) is also a decreasing function on (- ∞, 0). ∵ f (x) is a decreasing function on [0, + ∞), and ∵ f (2) < f (0) = 0, and f (4) < f (3), it is incorrect to get B; similarly, we can get f (- 2) > F (0) = 0, so we can get f (- 2) > 0 > F (...)
RELATED INFORMATIONS
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- 4. If the definition field of function f (x) = (MX ^ 2 + 4x + m + 2) ^ - 3 / 4 + (x ^ 2-mx + 1) ^ 1 / 2 is r, find the value range of real number M The answer is (√ 5) - 1
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- 9. Let f (x) be defined as D. if there is a non-zero real number m such that for any x ∈ m (M is contained in D), there is (x-m) ∈ D and f (x-m) ≤ f (x), then F (x) is a low-key function of degree m on M. if f (x) whose domain is R is an odd function, when x ≥ 0, f (x) = | X - A ^ 2 | - A ^ 2, and f (x) is a low-key function of degree 5 on R, then the value range of real number a is?
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- 12. 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)
- 13. 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
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- 15. 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)
- 16. 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)
- 17. 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
- 18. 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
- 19. 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)
- 20. 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)