var('x')
f=Piecewise([[(-pi,0),(cos(x))^2], [(0,pi),(sin(x)^2)]], x);
show(f)
for x in range(1,pi):
    if f(x)==f(-x):
        print "even function"
        break
    elif f(x)==-f(-x):
        print "odd function"
        break
    else:
        print "neither odd nor even"
        break

* Solution by:

Kreyszig-10.4-8-U (last edited 2010-12-18 07:22:07 by Jrachit)