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Function? Correspondence? Neither?-cont.

  1. Aug 30, 2010 #1
    1. The problem statement, all variables and given/known data

    Consider the following mathematical items.
    For each item, (1) indicate whether it has a natural interpretation as a function, a correspondence, or neither. If the item is a function or a correspondence, the indicate (2) its domain and range and (3) whether it is (a) real, (b) single-valued and (c) univariate.
    If the item is not a function, or is not real, single-valued or univariate, then justify your answer briefly.

    3. The attempt at a solution

    6. (x,y): y=f(x), f(x)=x2, -1=<x=<1. This is a function, Domain (-1=<x=<1 ), Range (infinity), real/single-valued/univariate? how to tell?

    7. (x,y): y=f(x), f(x)=x1/2, -1=<x=<1. My teacher told that this is NOT a function, and I don't get why. Is it correspondence? How do you tell? real/single-valued/univariate?

    8. And a tough one, that needs to be plotted;

    (x,y): y=f(x), f(x)=(i-1)+x if i is odd
    f(x)=(i-x if i is even, i=1, 2...,.. 0=<x=<1
     
  2. jcsd
  3. Aug 30, 2010 #2

    hmm how about, you wrote here the definition of

    a) a function
    b) correspondence
    c) real
    d) single
    e) univariate

    the definition is very important, so maybe we can help you understand it
     
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