Fabay J.

asked • 03/29/17

y=1/2sin x. find the domain,range,amplitude, and period

y=1/2sin x
 
domain=?
range=?
amplitude=?
period=?

1 Expert Answer

By:

Arturo O. answered • 03/29/17

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Fabay J.

what are those real numbers?
how to graph this ?
can you give a graph to this problem please!
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03/29/17

Arturo O.

The domain is all the real numbers from -∞ to ∞.
 
This forum does not lend itself to graphing.  However, if you are familiar with the graph of y = sinx, the graph of y = (1/2) sinx has the same shape and crosses the x-axis at the same places, but y goes up to only 1/2 instead of 1, and down to only -1/2 instead of -1.  
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03/29/17

Fabay J.

one moment please!
can u give the full explanation to this problem, so that i can explain much more during reporting.
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04/05/17

Arturo O.

Find a figure in your your math book that has a plot of y = sinx.  The plot of y = A sinx, is very similar, but it ranges from +A to -A on the y-axis, instead of +1 to -1.  It has the same period as sinx, and crosses the x-axis at the same places, i.e. where x = nπ, n being any integer.  There really is not much more to say about this this.  You should have seen a plot of sinx in your class, and I am sure your book has a figure of it.
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04/05/17

Arturo O.

I would add one more thing:  The maximum and minimum values occur at odd multiples of ±π/2.  But there is no substitute for examining a figure with the plot and seeing this for yourself.
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04/05/17

Fabay J.

oh my god!
i cant understand?
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04/05/17

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