Sketching the graph of a function

  • #1

Homework Statement:

Sketch f(x) in the range -2l<x<2l

Relevant Equations:

The equation is in the picture attached
I have no idea why my sketch is wrong.
 

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Answers and Replies

  • #2
berkeman
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But your function looks to be only defined over -l to +l -- why are you asked to extend it outside of that definition? Is there more to the question? Is that really how the problem is stated in the book?
 
  • #3
But your function looks to be only defined over -l to +l -- why are you asked to extend it outside of that definition? Is there more to the question? Is that really how the problem is stated in the book?
I have attached the full question as stated in the problem sheet. I am just stuck in the sketching part.
 

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  • #4
berkeman
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I have attached the full question as stated in the problem sheet.
Ah, yes. You left out the "and" part... :smile:

So the period of the waveform is 2l, right? So f(x) should equal f(2l), not f(3l/2)...
 
  • #5
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So f(x) should equal f(2l), not f(3l/2)...
According to the belated problem statement, f(x) = f(x + 2l).
 
  • #6
berkeman
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According to the belated problem statement, f(x) = f(x + 2l).
Yeah, thanks Mark. I meant f(x) = f(x + 2l), not = f(x + 3l/2). Trying to type too fast I guess...
 
  • #7
SammyS
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That " l ", lower case L, sure makes these expressions difficult to read. There is a Unicode character that will help, Unicode character U + 2113, which is rendered as .

f(x) = f(x + 2l) becomes f(x) = f(x + 2ℓ)

##\LaTeX##, can also give a good result. Its standard use of a serif font in italics for variables gives ##f(x) = f(x + 2l) ##.

But the script lowercase L can be displayed in ##\LaTeX##. Use "\ell" to get ##f(x) = f(x + 2\ell) ##.

Now I must say that "\ell" looks better written with ##\LaTeX## as \##ell##.
 

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