若函数y=f(x)对于一切实数a,b都满足f(a+b)=f(a)+f(b),且f(1)=8,则f(-1/2)=_________
问题描述：
若函数y=f(x)对于一切实数a,b都满足f(a+b)=f(a)+f(b),且f(1)=8,则f(-1/2)=_________
答
f(1/2)+f(1/2)=f(1)=8
f(1/2)=f(1)/2=4
f(0)+f(0)=f(0)
f(0)=0
f(-1/2)+f(1/2)=f(0)=0
f(-1/2)=-f(1/2)=-4