Question

write a expotential function y=abx for a graph that includes (0,5)(2,45)

please explain

Answer 1

go ahead

Answer 2

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 \(y=5\cdot (-3)^x\)

Answer 3

well i think that you best take \[b=3\]

Answer 4

\[b>0, b\neq 1\]

Answer 5

reason being then you don't have to worry about something like \[(-3)^{\frac{1}{2}}=\sqrt{-3}\]

Answer 6

Yes, just take b=3 :)