# Math Help - even and decreasing function

1. ## even and decreasing function

Is it possible that function is even as well as decreasing in its domain?

2. ## Re: even and decreasing function

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