1.2.11.2.1函数的概念函数的概念((二二))Review:Definition:afunction(函数)ffromAtoB,whereAandBarenon-emptysets,isarule(法则)thatassociateswitheachelementofAaunique(唯一的)elementofB,writteny=f(x),xA∈*Domain(定义域):A*Whenx=a,f(a)isthecorrespondingvalueofthefunction(函数值).*Range(值域):thesetBAxxf)(*AandBarethesetsRofrealnumbers(实数),orsomesubsetsofR.Remark:下图中能表示函数关系的是练习1:设M={x|0≤x≤2},N={y|0≤y≤3},给出下列四个图形(如图所示),其中能表示从集合M到集合N的函数关系的是.(填序号).练习2:已知函数y=f(x),(x∈[a,b]),那么集合{(x,y)|y=f(x),x∈[a,b]}∩{(x,y)|x=2}中所含元素的个数是()(A)1(B)0(C)0或1(D)1或2Definition:afiniteinterval(有限区间)ontherealline(数轴)isasubsetofRdefinedintermsof(根据)end-points(端点)aandb.Sinceeachend-point(端点)maynotbelongtothesubset,therearefourtypes(类型)offiniteinterval(有限区间):Review:Interval(区间)(i)Theclosedinterval(闭区间){x|a《x《b},denotedby(记作)[a,b],(ii)Theopeninterval(开区间){x|a