Question

given the exponential function f(x)=ab^x if f(0)=3, f(2)=12, find a and b

Answer 1

a=3
b=+-2

Answer 2

\[f(x)=ab ^{x}\]
\[f(0)=3 \rightarrow a=3\]
\[f(2)=12 \rightarrow 3b ^{2}=12\]
\[b ^{2}=4\]
\[b =\pm2\]

Answer 3

thanks :)