Find the exponential function f(x)=Ca^x whose graph goes through the points (0,3) and (2,12).

Answer 1

for (03) --> 3 = C a^0
3 = C (1)
so C = 3

for (2,12) --- 12 = 3a^2
4 = a^2
a = 2

f(x) = 3 (2)^x