数分问题求证明

问题描述:

数分问题求证明
Exercise 8.Suppose on a recent exam,Amy received an A,Joe received a D,Meg
received a B,and Sam received an A.
Let R = { Amy,Joe,Meg,Sam }10 1.PREPARATORY MATERIAL
Let S = {A,B,C,D,F}
Let T = {A,B,D}
Let f = {(Amy,A),(Joe,D),(Meg,B),(Sam,A)}
Let g = {(A,Amy),(D,Joe),(B,Meg),(A,Sam) }
Let h = {(A,Amy),(D,Joe),(B,Meg) }
Use the definition of a function to explain why the following statements are true:
• f is a function from R to T.
• f is not a function from T to R.
• f is a function from R to S.
• g is not a function from T to R.
• h is a function from T to R.
• h is not a function from S to R.

其实这道题主要是考查函数的定义:设A,B是非空的数集,如果按照某种确定的对应关系f,使对于集合A中的任意一个数x,在集合B中都有唯一确定的数f(x)和它对应,那么就称fA→B为从集合A到集合B的一个函数,记作y=f(x),x∈A....