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How can i sketch the graph of a step function

  1. Jan 27, 2007 #1
    could you give me the method of sketching the graph of a step function
    here is an example:
    N(t)=25(2||t+2/2||-t)

    thanks a lot for your help
     
  2. jcsd
  3. Jan 27, 2007 #2

    arildno

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    Pleas write maths properly! :grumpy:

    Do you mean:
    [tex]N(t)=25(2|t+\frac{2}{2}|-t)[/tex]
    Or:
    [tex]N(t)=25(2|\frac{t+2}{2}|-t)[/tex]
     
  4. Jan 27, 2007 #3
    second one. sorry don't be very furious since i'm new to the forum
    [tex]N(t)=25(2|\frac{t+2}{2}|-t)[/tex]
     
  5. Jan 27, 2007 #4

    arildno

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    I am only seething a little..

    Now, "2" is a positive number!
    Can you simplify the product between the "2" and the absolute value expression a bit?
     
  6. Jan 27, 2007 #5
    no sorry isn't an absolute value
    is a step function
     
  7. Jan 27, 2007 #6

    arildno

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    Okay, is it a floor function (equal to the greatest integer lower than the argument), or a roof function (equal to the smallest integer greater than the argument)?
     
  8. Jan 27, 2007 #7
    it's a greatest integer function
     
    Last edited: Jan 27, 2007
  9. Jan 27, 2007 #8

    arildno

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    I'm unfamiliar with term "great integer function".

    I'll proceed as if it is a floor function:

    Now, we see that for t-values [itex]2n\leq{t}<{2(n+1)}[/tex], the floor function has the function value n+1

    Thus, in that interval, we have:
    [tex]50(n+1-2(n+1))\leq{N(t)}\leq{50}(n+1-2n)[/tex], having its maximum value at t=2n, descending linearly to the limiting value -50(n+1) at t=2(n+1)
     
  10. Jan 29, 2007 #9
    i think the above ans wrong
     
  11. Jan 30, 2007 #10

    HallsofIvy

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    Would you mind greatly telling why you think that?
     
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