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marcelie
 one year ago
Help please !!!!
For the following exercises, graph the transformation of
f (x) = 2^x. Give the horizontal asymptote, the domain,
and the range.
f(x) = 2^x
marcelie
 one year ago
Help please !!!! For the following exercises, graph the transformation of f (x) = 2^x. Give the horizontal asymptote, the domain, and the range. f(x) = 2^x

This Question is Closed

marcelie
 one year ago
Best ResponseYou've already chosen the best response.0dw:1444618045238:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0where are you stuck?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0what is the lowest y can go?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0the range for f(x) = 2^x?

marcelie
 one year ago
Best ResponseYou've already chosen the best response.0woukd range be ( infinity to infity ) ot 90 to infinity

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0on your graph notice how y slowly approaches the x axis. It doesn't actually reach the x axis. So y = 0 is the lowest y can go which means the range is \(\LARGE (0, \infty)\)

marcelie
 one year ago
Best ResponseYou've already chosen the best response.0ohh can the range be 0 ?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0you mean can 0 be in the range?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0You can also look back on how exponents work. Despite the negative sign in front of the exponent, all that means is that you'll get the inverse of what you would've gotten if that had been a positive exponent. ie.) \[2^{2}=4\] while \[2^{2}=\frac{ 1 }{ 4}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0It would approach 0 but it would never actually touch 0, which is why it's left in the open parenthesis "( , )" instead of the closed parenthesis "[ , ]"

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Because no matter what number you put in for "x" in either function, you will never get the function to equal to zero

marcelie
 one year ago
Best ResponseYou've already chosen the best response.0oh so mostly ranges are 0 ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0range refers to what values are possible along your yaxis and domain refers to what values are possible along your xaxis

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0the range is a collection of numbers usually. Not just a single number

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So going back to the funcitons... For both functions, you know that your "x" variable can be all real numbers so your domain for both functions would be \[(\infty,\infty)\]. And you always want to make sure that you put \["\infty"\] in an open parenthesis. As for range, you know that you'll get only positive values for both functions (because of how exponents work, as I've explained above) and it'll only approach zero but never touch the line, so the ranges for both functions would be \[(0,\infty)\]
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