1 few days ago i saw a "strange" definition of a decreasing function in the web, but i cant find it now. there were three relationships, and when showing that one implies another, you could tell that the function is decreasing. one relationship looked like this:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]f(x)=\frac{1}{x}[/tex]

does it look familiar?

2 there is a function:

[tex]f(x)=\frac{2x+cos {x}}{3+x^{2}}[/tex]

how can find if it is periodic[al?]? i've heard that the polynomial of an odd degree is not periodic[al], can I use this principle to define whether that function is periodic[al] or not? does this principle say[tell? sorry for this ungrammatical statement], that there are some polynomials of an even degree that are periodic[al]?

3 is it spelt periodic or periodical? ;/

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# Atypical definition of decreasing function

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