The range of function f (x) = x & # 178; + 2x + 5 is
f(x)=x^2+2x+1+4=(x+1)^2+4
The range is [4, + ∞)
RELATED INFORMATIONS
- 1. The function f (x) = - (x-1) 178; + 1, where x belongs to [- 1,2), the range is_____
- 2. If f (x) = x ^ 2 + (K-4) x-2k + 4 is always greater than 0 for any k ∈ [- 1,1], the value range of X is? A. - 1 / 3 b.x > 4 c.x < 1 or X > 3 D.X < 1 Item a is changed to x < 0
- 3. It is known that the two zeros of the function f (x) = ax & # 178; + BX + C are - 1 and 2, and f (5)
- 4. 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 M is
- 5. We know that the image of quadratic function y = AXX + BX + C passes through a (0, a), B (1,2), @ # Given the image of quadratic function y = AXX + BX + C through a (0, a), B (1,2), @ #, prove: the symmetry axis of this quadratic function image is a straight line x = 2. (in the title, @ #, it is a piece of contaminated and unrecognizable text) (1) according to the existing information, can we find out the quadratic function analytic formula of the title? If yes, please write out the solving process; if not, please write down the solving process, Please explain the reason. (2) add a condition to the original subject according to all the information
- 6. Let f (x) = ax ^ 2 + BX + C (a > 0) and f (1) = - A / 2 (1) prove that f (x) has two zeros
- 7. Given the function f (x) = x + m, and the function image passes through the point (1,5), then the value of real number m is
- 8. If f (x) is an even function defined on R with period of 3 and f (2) = 0, then the minimum number of solutions of the equation f (x) = 0 in the interval (0,6) is () A. 5B. 4C. 3D. 2
- 9. Given f (x) = e ^ x-1-x-ax ^ 2, when x ≥ 0, f (x) ≥ 0, find the range of A
- 10. On the monotonicity of functions Given function f (x) = x / X-1, X ∈ interval [2,5] (1) The monotonicity of the function in the interval [2,5] is judged and proved (2) Find the maximum and minimum of the function in the interval [2,5]
- 11. The range of function y = 10 ^ (|x-1 | - |x + 1 |) is?
- 12. Given that the odd function f (x) with the domain r satisfies: when x > 0, f (x) = x ^ 3 + 2x ^ 2-1, find the expression of F (x)
- 13. If the function f (x) = the x power of a (a is greater than 0, a is not equal to 1) satisfies f (2) = 81, then the value of F (- 1 / 2)
- 14. If the odd function f (x) is decreasing in the domain of definition, what is the range of a satisfying the inequality f (1-A) + F (1-A & # 178;) < 0?
- 15. Given the function FX = LG (| X-1 | + | X-5 | - a) 1) when a = 5, find the domain of the function. 2) when the range of the function is r, find the range of A Given the function FX = LG (| X-1 | + | X-5 | - a) 1), when a = 5, find the domain of the function. 2) when the range of the function is r, find the range of A
- 16. Given that f (x) is an odd function, and when x > 0, f (x) = x ^ 3 + 2x ^ 2-1, find the expression of F (x) on X ∈ R
- 17. Given that the function y = f (x) is an odd function defined on R, and f (x) = 2 ^ x when x > 0, try to find the expression of the function y = f (x)
- 18. Given the function f (x) = 4x ^ 3-4ax, X ∈ [0,1], the solution set of inequality f (x) ^ 2 > 1 about X is an empty set, then the value of real number a satisfying the condition
- 19. If the solution set of inequality | x + 1 | - | X-1 | ≤ m is r, then the value range of real number m is r
- 20. The range of function y = log ^ 2, x, X ∈ (0,8) is (log is based on 2)