f(x+y)=f(x)+f(y),f(-3)=a,如果x>0,f(x)

来源：学生作业帮助网编辑：作业帮时间：2024/04/28 01:55:49

f(x+y)=f(x)+f(y),f(-3)=a,如果x>0,f(x)
f(x+y)=f(x)+f(y),f(-3)=a,如果x>0,f(x)

f(x+y)=f(x)+f(y),f(-3)=a,如果x>0,f(x)
f(3+0)=f(3)+f(0) f(0)=0;
f(2)= -1 f(3)= -1.5 f(4)= -2
f(2)=f（4）+f(-2)= -1
f(-2)=1
最大f(-2)=1
最小 f(4)= -2

f(x+y) = f(x) + f(y), f(-3) = a
if x>0, f(x)<0, f(1) = -1/2
put x=y =1
f(2) = 2f(1) = -1
put x=y = 2
f(4) = 2f(2) = -2
put x=-3,y=1
f(-2) = f(-3)+ f(1)
= a -1/2...

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f(x+y) = f(x) + f(y), f(-3) = a
if x>0, f(x)<0, f(1) = -1/2
put x=y =1
f(2) = 2f(1) = -1
put x=y = 2
f(4) = 2f(2) = -2
put x=-3,y=1
f(-2) = f(-3)+ f(1)
= a -1/2
for x> y
x = y+c ( c>0)
f(x) = f(y+c)
= f(y) + f(c) (c> 0 , f(c) <0)
< f(y)
f is decreasing function
f(x)在区间[-2,4]上的
最大值 = f(-2)=a -1/2
最小值 = f(4)=-2

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