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)
The axis of symmetry of the function f (x) = 4x2 MX + 5 is x = M8, and the function f (x) = 4x2 MX + 5 is an increasing function in the interval [- 2, + ∞), ∵ M8 ≤ - 2, ∵ m ≤ - 16
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- 1. 2. Given that 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 a, ≥ 25B, = 25C, ≤ 25d, I don't understand why x = - B / 2A ≤ - 2, that is, M / 8 ≤ - 2, m ≤ - 16 Why is x = - B / 2A greater than or equal to - 2?
- 2. Given that the function f (x) = 4x ^ 2-mx + 5 is an increasing function in the interval [- 2, negative infinity), then the value range of F (1) is It's on [- 2, positive infinity)
- 3. If the function f (x) 4x ^ 2-mx + 5 is an increasing function on the interval [- 2, + ∞), then f (1) has a range of values
- 4. It is known that the function f (x) = ln (ex + a) (a is a constant) is an odd function on the real number set R, and the function g (x) = λ f (x) + SiNx (λ≤ - 1) is a decreasing function on the interval [- 1,1]; (1) find the value of a; (2) if G (x) ≤ T2 - λ T + 1 is constant on X ∈ [- 1,1], find the value range of T
- 5. If a line y = ex + B (E is the base of natural logarithm) and two functions f (x) = ex, G (x) = LNX have at most one common point, then the value range of real number B is______ .
- 6. Given the function f (x) = - e ^ x, G (x) = LNX, e is the base of natural logarithm
- 7. The image of quadratic function y = ax + BX + C intersects with X axis at points a (- 8,0), B (2,0), and intersects with y axis at point C, ∠ ACB = 90 degree. (1) find the analytic expression of quadratic function. (2) find the vertex coordinates of image of quadratic function
- 8. Given that the image of quadratic function y = AX2 + BX (a is not equal to 0) of X passes through a (- 1,3), then AB has the maximum value of
- 9. What is the condition that the quadratic function y = AXX + BX + C (a is not equal to 0) is always negative "AXX" is a times the square of X
- 10. It is known that a, B and C are positive integers, and the quadratic function y = AXX + BX + C. when x is greater than or equal to - 2 and less than or equal to 1, y is larger If y is greater than or equal to - 1 and less than or equal to 7, find the analytic expression of quadratic function
- 11. 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
- 12. If f (x) = ax ^ 2 + BX + C, then "f (m) f (n)
- 13. Given the function f (x) - ax ^ 2 + BX + C, two zeros are - 1 and 2, and f (5)
- 14. 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)
- 15. 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
- 16. 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)
- 17. 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)
- 18. The function y = FX is an even function on (negative infinity, positive infinity). When x ≥ 0, FX = x & # 178; - 2x-3, find FX
- 19. 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)
- 20. 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)?