# even and decreasing function

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• May 12th 2012, 09:22 AM
ayushdadhwal
even and decreasing function
Is it possible that function is even as well as decreasing in its domain?
(Lipssealed)
• May 12th 2012, 09:32 AM
skeeter
Re: even and decreasing function
Quote:

Originally Posted by ayushdadhwal
Is it possible that function is even as well as decreasing in its domain?
(Lipssealed)

depends on the definition of decreasing ...

the def. used in my calculus text is ...

a function is decreasing if for $b > a$ , then $f(a) \ge f(b)$

technically, any constant function would be even and satisfy this definition.