MIME-Version: 1.0 Content-Type: multipart/related; boundary="----=_NextPart_01CB50F6.32E9EF80" This document is a Single File Web Page, also known as a Web Archive file. If you are seeing this message, your browser or editor doesn't support Web Archive files. Please download a browser that supports Web Archive, such as Windows® Internet Explorer®. ------=_NextPart_01CB50F6.32E9EF80 Content-Location: file:///C:/186A4E54/Economics214.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Economics214

Economics 230= 1         =             &nb= sp;            =             &nb= sp;            =             &nb= sp;            =             &nb= sp;            =             &nb= sp;       Fall, 2010

Quiz 1

 

Definitions <= span class=3DGramE>( 10 pts )

 

Qualitative variable

 

A qualitative variable represents some distinguishing characteristic, such as male or female.&nb= sp; The relationship between values of a qualitative variable is not num= erical.

 

Rational number

 

Some real numbers can be expressed as ratios of integers.  These numbers are c= alled rational numbers.

 

Function

 

A function is a rule that associates each element of o= ne set with a single element of another set.  A function is also called a mapping or a transformation.

 

Domain of a function

 

A function f that unambiguously associates with each element of a set X one element in the set Y is written as f= :X®Y.  In this case, the set X = is called the domain of the function f= .

 

Right-hand Limit

 

The right-hand limit of a function f(x) as its argument approaches some number a, written as exists and is equal to LR i= f for any arbitrarily small number e, there exists a small number = d such that |f(x)- LR|<= e whenever a<x<a+d.

 


Problems (10 = pts )

 

In the following problem, set X represents the domain = and Y is the set of values that occur with a potential function, f.  Confirm whether the f is a functio= n and explain.

 

   &nbs= p;        Set X consists of all the people who have shared the prize of Best-Dressed Celebrity in any given year; set Y consists of the years in which the Best-Dressed Celebrity prize was shared.

 

No.  A ce= lebrity could have won the award in more than one year, therefore, the mapping woul= d be one to many and this is not a function.

 

Evaluate the following limit: 

 

 

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