Sketching H(sin(x)): How to Graph a Step Function with a Sine Argument

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Homework Help Overview

The discussion revolves around sketching the function H(sin(x)), where H(x) is defined as a step function. The original poster seeks guidance on how to approach this graphing task, particularly in the context of a step function derived from an old exam question.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants inquire about the specific step function intended for the graph and the interval of interest. There is a suggestion to divide the function into sub-intervals corresponding to the step length. Additionally, one participant emphasizes using the definition of the step function to derive H(sin(x)).

Discussion Status

The discussion is active, with participants exploring different interpretations of the step function and its application to H(sin(x)). Some guidance has been offered regarding the use of the step function's definition, but no consensus has been reached on a specific approach.

Contextual Notes

It is noted that the step function is assumed to be H(x) = 1 if x > 0 and H(x) = 0 if x < 0, which is central to the discussion. The context of the problem being derived from an old exam may also influence the participants' perspectives.

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Homework Statement



sketching

Homework Equations



How to sketch H(sin(x)) if H(x) is a step function

How would you start ?!
 
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Do you have a specific step function in mind? Over what interval are you trying to graph it?

I think the simplest way would be to just divide the whole function up into n sub intervals that are the length of the step.
 
that was a question on an old exam! nothing more.

the step is assumed
H(x) = 1 if x>0
H(x) = 0 if x<0
 
scientific1 said:
that was a question on an old exam! nothing more.

the step is assumed
H(x) = 1 if x>0
H(x) = 0 if x<0

Use that definition to write what H(sin(x)) is. (Replace x by sin(x) everywhere in the definition).
 
Last edited:

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