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《高级中学课本代数上册(必修)(1996年修订本)》(以下简称《课本》)中有这样一道例题:第55页例2.已知函数f(x)是奇函数, 而且在(0,+∞)上是增函数。f(x)在(-∞,0)上是增函数还是减函数? 随后,《课本》中又有下面两题。 练习(第57页)3.已知函数f(x)是偶函数,而且在(-∞,0)上是增函数。f(x)在(0,+∞)上是增函数还是减函数? 习题五(第59页)10. 已知函数f(x)是奇函数,而且在(0,+∞)上是减函数。f(x)在(-∞,0)上是增函数还是减函数?
There is an example of this in the book “Required” in High School Textbook Algebra (required) (Revised Edition 1996) (hereinafter referred to as “textbook”): Page 55 Example 2. The known function f(x) is an odd function, and at (0 , +∞) is an increasing function. Does f(x) increase or decrease function on (-∞, 0)? Then there are the following two questions in Textbook. Exercise (page 57) 3. The known function f(x) is an even function and is an increasing function on (-∞, 0). Is f(x) an increasing function or a decreasing function on (0,+∞)? Problem 5 (page 59) 10. Known function f(x) is an odd function, and is reduced on (0,+∞). function. Is f(x) an increasing function or a decreasing function on (-∞,0)?