Question 938289
ok, let's assume we were out in the middle of a desert with no graphing calculator or graphing software...
{{{y = (1/5^x) - 3}}} P(0, -2) on this curve.
x gets positively Large, y approaches -3
x gets negatively Large, y approaches Infinity
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Domain: no restrictions, all real numbers
Range: (-3, inf)
horizontal asymptote: y = -3
....
The other approach would be to use technology...
and then take a minute to ask Yourself, Why the curve behaves that way.
My point: today's technology can be used as a GRReat Learning Tool.
...
Recommend the FREE graph software at
http://www.padowan.dk.com