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What’s the exponential function of g?X 0,1,2,3,4 g(x) 1,3,9,27,81

User Smugford
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In order to find the exponential function g(x), let's use the model below for an exponential function:


g(x)=a\cdot b^x

Using the points (0, 1) and (1, 3), we have:


\begin{gathered} (0,1)\colon \\ 1=a\cdot b^0 \\ a=1 \\ \\ (1,3)\colon \\ 3=1\cdot b^1 \\ b=3 \end{gathered}

Therefore the equation is g(x) = 3^x.

User SinusGob
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