If the function f(x) is increasing on the interval (a,b), then for any x₁,x₂ in (a,b) where x₁ A. f(x₁)>f(x₂) B. f(x₁)=f(x₂) C. f(x₁) D. The relationship cannot be determined. 相关知识点: ...
If the function f(x) = ax^3 + bx^2 + cx + d has a local maximum at x = 1 and a local minimum at x = -1, which of the following must be true? A. a < 0 B. a > 0 C. b = 0 D. c = 0 相关知识点: 试题来源: ...
If the function f(x) = x^3 - 3x^2 + 2 has a maximum value at x = a and a minimum value at x = b, then the value of a + b is A. 2 B. 1 C. D. -1 相关知识点: 试题来源: 解析 A。本题考查函数的极值。对函数求导得 f'(x) = 3x^2 - 6x,令其等于 0,解得...
If the function f(x) is an increasing function on the interval [a,b], then which of the following must be true? A. f(a) B. f(a)>f(b) C. f(a)=f(b) D. None of the above 相关知识点: 试题来源: 解析 A。因为函数在区间 [a,b] 上是增函数,所以当 a ...
If the function f(x) = x^2 - 2x, which of the following statements is true about its monotonicity? A. Increasing on (-∞, 1) and decreasing on (1, +∞) B. Decreasing on (-∞, 1) and increasing on (1, +∞) C. Always increasing D. Always decreasing ...
If the function f(x) = a^x passes through the point (2, 9), then a =: A. 3 B. -3 C. 9 D. -9 相关知识点: 试题来源: 解析 A。将点 (2, 9) 代入函数 f(x) = a^x ,得到 9 = a^2 ,解得 a = 3 。反馈 收藏
If the function f(x) = x^2 - 4x + 5, what is the minimum value of the function? A. 1 B. -1 C. 5 D. 9 相关知识点: 试题来源: 解析 A。对于二次函数 f(x) = x^2 - 4x + 5,通过配方法可得 f(x) = (x - 2)^2 + 1,所以函数的最小值是 1,A 选项正确。反馈 收藏 ...
If the function f(x) = x + 1/x is increasing on the interval (a, +∞), then the value of a is ( ) A. 1 B. C. -1 D. -2 相关知识点: 试题来源: 解析 A。对 f(x) 求导得 f'(x) = 1 - 1/x^2,令 f'(x) > 0 ,解得 x > 1 或 x < -1 ,所以函数在 (1, +...
If the function f(x) = x³ has an inverse function g(x), then g(8)=? A. 2 B. 3 C. 4 D. 5 相关知识点: 试题来源: 解析 A。因为 f(x) = x³,其反函数 g(x) = ∛x。当 f(x)=8 时,x = 2,所以 g(8)=2。反馈 收藏 ...
题目 If the function f(x) = x^2 - 2x + 3 has a minimum value of 2 at x = 1, then which of the following is true? A. f(-1) < f(2) B. f(-1) > f(2) C. f(-1) = f(2) D. It cannot be determined 相关知识点: 试题来源: ...