anonymous
  • anonymous
write a expotential function y=abx for a graph that includes (0,5)(2,45) please explain
Mathematics
  • Stacey Warren - Expert brainly.com
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katieb
  • katieb
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anonymous
  • anonymous
go ahead
watchmath
  • watchmath
Plugin \((0,5)\) we have \(5=a\). Plug in \((2,45\) and \(a=5\) \(45=5\cdot b^2\) \(b^2=9\) \(b=\pm 3\) So \(y=5\cdot 3^x\) or \(y=5\cdot (-3)^x\)
anonymous
  • anonymous
well i think that you best take \[b=3\]

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anonymous
  • anonymous
\[b>0, b\neq 1\]
anonymous
  • anonymous
reason being then you don't have to worry about something like \[(-3)^{\frac{1}{2}}=\sqrt{-3}\]
watchmath
  • watchmath
Yes, just take b=3 :)

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