Discovering the Function f(x)=x+1/x | Expert Help & Thanks in Advance!

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Homework Help Overview

The discussion revolves around the function f(x) = x + 1/x, exploring its properties and characteristics. Participants are examining its behavior, particularly in relation to limits and definitions at specific points.

Discussion Character

  • Exploratory, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the function's limit as x approaches infinity and its undefined nature at x = 0. There are inquiries about the terminology used in different countries and methods of teaching related to this function.

Discussion Status

The conversation includes various perspectives on the function, with some participants sharing their experiences with graphing tools. Guidance on terminology and graphing characteristics has been offered, but no consensus has been reached regarding teaching methods.

Contextual Notes

Participants mention different names for the function in various countries and express curiosity about teaching practices, indicating a cultural aspect to the discussion. There is also a reference to the use of specific graphing software.

sophiaqiu
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help! thanks in advance!

Homework Statement



what do you know about this function:f(x)=x+1/x

Homework Equations





The Attempt at a Solution

 
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uh... it's a function?

What do you want to do with it?
 
its limit is 1 when x->infinity
it is not defined when x=0

yeah like christian stated

what's your deal with it??
 
yes,I know,now I want to know how do you call it in your country,we call it "nike curve" in China,I want to know how do you teach your students in maths teaching?did you use the sketchpad to graph it??
 
I graphed it use Graphmatica, give that a search in google and its free.

You don't need to call it anything Sophia, just tell the students f(x)=x+1/x. That's all. And just incase you wanted some helpful info on actually graphing it, its an odd function so there's antisymmetry. and www.calc101.com has a graphing program on it, that might help as well.
 

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