游客1:定義在R上的函數(shù)f(x)滿足f(x+y)=f(x)+f(y)+2xy(x,y∈R)f(1)=2,
則f(-3)=?
2:設f(x)是連續(xù)偶函數(shù),且當x>0時f(x)是單調(diào)函數(shù),則滿足f(x)=f(x+3/x+4)的所有x之和為?
3:函數(shù)f(x)滿足:⑴定義域是(0,+∞)⑵當x>1時,f(x)<2;⑶對任意x,y∈(0,∞)總有f(xy)=f(x)+f(y)-2.求:1,f(1)的值.2,判斷函數(shù)f(x)的單調(diào)性,并用定義予以證明.
4:已知函數(shù)f(x)在(-1,1)上有意義,f(1/2)=-1,當且僅當時5:已知函數(shù)f(x)=1/a -1/x (a>0,x>0),若f(x)在區(qū)間[m,n]上的值域仍為[m,n],求a的取值范圍.