函数y=log(1/2)(x^2-3x+2)的单调递减区间为() A (-无穷,1) B (2,+无穷) C (-无穷,3/2) D (3/2,+无穷)

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/09 10:24:20
函数y=log(1/2)(x^2-3x+2)的单调递减区间为() A (-无穷,1) B (2,+无穷) C (-无穷,3/2) D (3/2,+无穷)

函数y=log(1/2)(x^2-3x+2)的单调递减区间为() A (-无穷,1) B (2,+无穷) C (-无穷,3/2) D (3/2,+无穷)
函数y=log(1/2)(x^2-3x+2)的单调递减区间为()
A (-无穷,1) B (2,+无穷) C (-无穷,3/2) D (3/2,+无穷)

函数y=log(1/2)(x^2-3x+2)的单调递减区间为() A (-无穷,1) B (2,+无穷) C (-无穷,3/2) D (3/2,+无穷)
B
∵ x²-3x+2>0 (根据函数的定义域范围)
∴ x 2
又∵ y=log(1/2)x 在定义域上是递减函数,y=x²-3x+2 在 x <1上是递减函数,在x>2上是递增函数
∴函数y=log(1/2)(x^2-3x+2)的单调递减区间为 (2,+无穷)