(adsbygoogle = window.adsbygoogle || []).push({}); 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)=x^{2}, -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)=x^{1/2}, -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 ifiis odd

f(x)=(i-x ifiis even,i=1, 2...,.. 0=<x=<1

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# Function? Correspondence? Neither?-cont.

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