How Can I Accurately Graph f(x)=sin^2*x and Understand Its Symmetry?

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Homework Help Overview

The discussion revolves around graphing the function f(x) = sin²(x) and understanding its properties, including symmetry. Participants are exploring how to accurately represent the function graphically and identify its characteristics.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants are attempting to find resources for graphing the function and are discussing its properties, such as domain, range, and symmetry. Questions about specific characteristics of the function are raised, including lines of symmetry and intercepts.

Discussion Status

Some participants have shared links to graphing tools and images, while others express difficulty in identifying the properties of the function. There is an ongoing exploration of definitions related to the function's characteristics, indicating a productive dialogue without explicit consensus.

Contextual Notes

One participant mentions a need for guidance on properties they are unable to find, suggesting a lack of information or clarity in understanding the function's characteristics.

cash.money
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I'm trying to get the correct graph for this function off the computer. Can you please guide me to where I could get it and print it??
 
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sin2x=(1-cos2x)/2.

Does this help?
 
You seem to want a picture of the graph, here is one.

http://img40.imageshack.us/img40/6459/graphsinx.png
 
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  • graph of sin^2(x).png
    graph of sin^2(x).png
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It would really help if you could give me these properties for this function.

Highlight all the properties: domain, range, maximum or minimum, lines of symmetry, restrictions, x-intercepts(zeros), y-intercepts.
 
What properties are you unable to find yourself?
 
I am unable to find any of them. A little guide on how to get them would be good.
 
You should be able to see the lines of symmetry while looking at the picture. What is the definition of a function's domain/range?
 

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