If f (x) = (A-2) x & # 178; + (A-1) x + 3 is an even number, find the value of real number a? Find the monotone increasing interval of function f (x)?
Let's say it's an even function, f (x) = f (- x), so a = 1
Monotone increasing interval: when a > 2, x > 0; when a > 2, x > 0
RELATED INFORMATIONS
- 1. It is known that the function y = f (x) is even on R, and when x ≥ 0, f (x) = x & # 178; - 2x ① Find the analytic expression of F (x) when x < 0. ② draw the diagram of F (x) and write the monotone interval of F (x)
- 2. The function y = FX is an even function on (negative infinity, positive infinity). When x ≥ 0, FX = x & # 178; - 2x-3, find FX
- 3. It is known that f (x) is an odd function defined on R. when x ≥ 0, f (x) = x & # 178; - 2x, then the expression of F (x) on R is () A.y= x(x-2) B.y=x(│x│+2) C.y=│x│(x-2) D.x(│x│-2)
- 4. Let f (x) be an odd function defined on R, and when x > 0, f (x) = 2x & # 178; - x, find the expression of F (x)
- 5. Y = f (x) is an odd function defined on R. when x > 0, f (x) = x & # 178; - 2x + 3, find the analytic expression of F (x) on R
- 6. Let f (x) be an odd function defined in R. when x ≤ 0, f (x) 2x & # 178; - x, find the analytic expression of F (x)
- 7. Given the function f (x) - ax ^ 2 + BX + C, two zeros are - 1 and 2, and f (5)
- 8. If f (x) = ax ^ 2 + BX + C, then "f (m) f (n)
- 9. If the function f (x) = 4x ^ 2-mx + 5 is an increasing function in the interval [- 2, positive infinity), then the value range of F (1) is
- 10. Given that the function f (x) = 4x2-mx + 5 is an increasing function in the interval [- 2, + ∞), then the value range of M is () A. (-∞,-16)B. (-∞,16]C. (-∞,-16]D. (4,16)
- 11. 2) if the decreasing interval of function y = LG (X & # 178; - 2mx + 3) is (- infinity, 1) and the increasing interval is (3, + infinity), find the value of real number M; ② Find the minimum value of function f (x) = x & # 178; - 2mx + 3, X ∈ {2.4} ~ 10084;
- 12. The function f (x) = x & # 178; + 2x-3a, X belongs to [- 2,2] 1, if FX + 2A ≥ 0, it holds. Find the value range of A
- 13. Let f (x) = x ^ 2-2x + 1-k ^ 2, for any x ∈ (0, positive infinity) f (x) > 2k-2, the value range of K is obtained
- 14. The function y is equal to the range of x plus 1 / 2x plus 4
- 15. The range of function f (x) = - (x-1) + 1 is
- 16. The range of function f (x) = (X & # 178; + X + 1) / (X & # 178; + 1) is
- 17. The range of the function f (x) = - X & # 178; - 2x + 5 is
- 18. Find the range of the following functions y = x + √ x + 1 f (x) = (x + 5) / (X & # 178; + 4) Don't be wrong
- 19. Find the range of function y = 10 ^ X-10 ^ (- x) / 10 ^ x + 10 ^ (- x)
- 20. What is the number of functions whose range is {2,5,10}, where the corresponding relation is y = x ^ 2 + 1 A.1 B.8 C.27 D.39 This is the joint examination of ten schools in Ningbo, Zhejiang Province in 2009