SOLUTION: Use transformation to identify the graph of the function. Then determine its domain, range, and horizontal asymptote.
{{{ f(x)=5^(-x)-3 }}}
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Exponential-and-logarithmic-functions
-> SOLUTION: Use transformation to identify the graph of the function. Then determine its domain, range, and horizontal asymptote.
{{{ f(x)=5^(-x)-3 }}}
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Question 938289: Use transformation to identify the graph of the function. Then determine its domain, range, and horizontal asymptote. Answer by ewatrrr(24785) (Show Source):
You can put this solution on YOUR website! ok, let's assume we were out in the middle of a desert with no graphing calculator or graphing software... P(0, -2) on this curve.
x gets positively Large, y approaches -3
x gets negatively Large, y approaches Infinity
...
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
