Function?

Test Preparation
1

<p>Is (x-2)/x a function? My precalc teacher says it is not. I am confused. I thought a function is a relation of x to a specific value for every value of x, so as long as each x has only one "function" then it is considered a function. </p>

<p>Why is this equation not classified as a function?</p>

2

<p><a href="http://en.wikipedia.org/wiki/Function_(math)#Formal_definition%5B/url%5D"&gt;http://en.wikipedia.org/wiki/Function_(math)#Formal_definition&lt;/a&gt;&lt;/p>

<p>I guess it depends on how much of a purist you want to be. Personally, I don't see why not; it's just a linear function of 1/x , and I've never heard of anyone objecting to calling 1/x a function.</p>

3

<p>That's what I was thinking.</p>

4

<p>maybe your teacher meant continuous function because having any variable on the bottom makes a hole.</p>

5

<p>Wait, I think I understand her statement. I think she meant polynomial, not function.</p>