exponential equation identification

Question

Find the exponential function f(x)=Ca^x whose graph goes through the points (0,2) and (3,16).

a= 

C= 

 

Answer 1

f(x) = Ca^x

2 = Ca⁰

2 = C

 

f(x) = 2a^x

16 = 2(a)³

8 = a³

2 = a

 

f(x) = 2(2)^x