Limiting domain and range

[Ross]

On the TI-Nspire, I know that you can limit the domain of a graph by
using the piecewise template. However, I can't seem to find a way to
limit the range as well. The reason I'm asking is that in my
Precalculus class, we are doing a trigonometry project where we need
to make a picture from multiple trig graphs, and I need to limit both
the domain and range for it to work. For example, I might need to
graph f1(x)=sin(x) for -pi<x<pi and -1/2<y<1/2. I couldn't find the
answer anywhere else, so I was hoping someone here would know. Also,
as a side note, I know that a few of your email "signatures" contain a
link to lafacroft.com to access the archive of the files here.
However, the link has changed, so I would appreciate it being
updated. The new link to the archive is: http://lafacroft.com/nspire/

[Gert]

Hi Ross,

Please find an uploaded file: Range limited.tns. It's a trial. I don't
like it, but maybe it gives you some ideas.

Short description:
f1 : function to be limited
f2: trial for limiting
f3: limited function (thick graph)

ul = upper limit
ll = lower limit

I had to solve:
- impossibility to use > or < in iffn() if iffn() is used in a
function, so I used int()
- undefined value, so I used 1/(x-x)

Remaining problems:
- complexity for use by student
- sometimes the undefined interval is bridged by a straight line

I hope it can be improved,
Gert

[Ross]

Unfortunately, the Files section of the Google Group is still messed
up, so nothing since the release notes for 2.0 is there. I don't know
why this is happening, but for some reason it can't handle more than
173 files. However, I think that I understand what you are getting
at, so I will try some things by myself until the Files section works
again. Also, it's funny how the 84 can do certain things that the
Nspire can't (besides programming features) like the DrawInv function
and the ability to limit both domain and range in the same way.

[Nelson Sousa]

I kind of like this approach: if you want x between x1 and x2 and y between y1 and y2 and your function is sine, for example, you can define

f1(x) = when(x1<x<x2, max(y1,min(y2,sin(x) ) ) )

min(y2,sin(x)) will limit the function from above whereas max(y1, ...) limits it from below.

Cheers,

Nelson

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