我知STRICTLY increasing/decreasing function 係injective...
How about MONOTONIC increasing/decreasing function?
if f'(x)=>0, 可唔可以話f(x)係injective?
Question on injective function
2010-04-12 2:22 am
回答 (3)
2010-04-12 5:15 am
✔ 最佳答案
MONOTONIC increasing/decreasing function may not be an injective function. For example, if f(x)=1, then f'(x) = 0 which shows that it is an monotonic increasing function. However, f(x) is not an injective function.
2010-04-12 4:15 am
WHY?理論上monotonic都只係因為F(X)有PT. OF INFLEXION,但應該都係ONE-TO-ONE FUNCTION 丫...對嗎?
2010-04-12 2:39 am
MONOTONIC應該唔得...
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原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20100411000051KK01277