- #1
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??
Explore the Graph of f(x)=sin^2*x with Expert Guidance
- Thread starter cash.money
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In summary, the conversation is about finding the correct graph for the function sin2x=(1-cos2x)/2. The person asking for help is directed to a picture of the graph and a website for further assistance. They are also asked to identify the properties of the function, specifically the domain, range, maximum or minimum, lines of symmetry, restrictions, x-intercepts, and y-intercepts. The person is unable to find these properties and asks for a guide on how to find them. They are given a hint to look at the picture for the lines of symmetry and are asked to define the function's domain and range.
- #2
mathman
Science Advisor
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sin2x=(1-cos2x)/2.
Does this help?
Does this help?
- #3
Cyosis
Homework Helper
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You seem to want a picture of the graph, here is one.
http://img40.imageshack.us/img40/6459/graphsinx.png
http://img40.imageshack.us/img40/6459/graphsinx.png
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- #4
cash.money
- 14
- 0
Thanks for your help. I figured out the graph myself, using this http://rechneronline.de/function-graphs/
correct graph is:
correct graph is:
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- #5
cash.money
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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.
Highlight all the properties: domain, range, maximum or minimum, lines of symmetry, restrictions, x-intercepts(zeros), y-intercepts.
- #6
Cyosis
Homework Helper
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What properties are you unable to find yourself?
- #7
cash.money
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I am unable to find any of them. A little guide on how to get them would be good.
- #8
Cyosis
Homework Helper
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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?
FAQ: Explore the Graph of f(x)=sin^2*x with Expert Guidance
What is the graph of f(x)=sin^2*x?
The graph of f(x)=sin^2*x is a periodic function that oscillates between 0 and 1. It is a curve that resembles a wave, with peaks at x=0, ±π, ±2π, etc. and valleys at x=±π/2, ±3π/2, etc.
How do I plot the graph of f(x)=sin^2*x?
To plot the graph of f(x)=sin^2*x, you can use a graphing calculator or graphing software. Alternatively, you can manually plot points by substituting different values for x into the equation and then plotting the corresponding y-values on a coordinate plane.
What is the period of f(x)=sin^2*x?
The period of f(x)=sin^2*x is 2π. This means that the graph repeats itself every 2π units along the x-axis.
What are the important features of the graph of f(x)=sin^2*x?
The important features of the graph of f(x)=sin^2*x include the period of 2π, the amplitude of 1, and the fact that it is an even function. It also has a maximum value of 1 and a minimum value of 0.
How can I use the graph of f(x)=sin^2*x in real life?
The graph of f(x)=sin^2*x can be used in many applications, including modeling periodic phenomena such as sound waves and alternating current in electrical circuits. It can also be used to analyze the behavior of pendulums and waves in physics.