anonymous
  • anonymous
write an exponential function whose graph passes through points (5,729) and (3,81)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
@Luigi0210
Luigi0210
  • Luigi0210
Well it has a base of 3
anonymous
  • anonymous
ok how did you get that equation

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Luigi0210
  • Luigi0210
Lucky guessing
anonymous
  • anonymous
lol
anonymous
  • anonymous
you can actually compute it without guessing if you like
anonymous
  • anonymous
you are told \((3,81)\) is on the graph of \(y=ab^x\) which means \(81=ab^3\) similarly you know \(729=ab^5\) divide the second by the first
anonymous
  • anonymous
this tells you \[\frac{729}{81}=\frac{ab^5}{ab^3}\] or \[9=b^2\] making \(b=3\) guessing is good too!
anonymous
  • anonymous
really how... because if I can get the idea of how to do one I may be able to DO the other problems I have by myself.
anonymous
  • anonymous
then since \(81=a\times 3^3=27a\) you know \(a=3\) as well
Luigi0210
  • Luigi0210
haha, satellite's a genius
anonymous
  • anonymous
making the function \[f(x)=3\times 3^x\] or more commonly written as \[f(x)=3^{x+1}\]
Luigi0210
  • Luigi0210
my equation again: \[y=3^{x+1}\]
anonymous
  • anonymous
like i said, guessing is a good method as well
Luigi0210
  • Luigi0210
And sorry ML, once you get enough practice these will be second nature to you
anonymous
  • anonymous
OK thank YOU guys I will go on & try to do the others with this blueprint

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