An exponential function F is defined by f(x)=k·b^x. Find b and k given the information below...
1. f(0)=3 and f(1)=12
2. f(0)=4 and f(2=1
f(0) =3 means when x =0 y = 3 sub that in to the equation
3 = k b^0 anything to the ' 0 ' power = 1 so
3= k
Now when y =12 and x = 1
12 = 3 b^1 anything to the ' 1' power is itself so
12 = 3b
4 = b and your equation becomes
f(x) = 3 (4)^x
The second one is very similar....try it .....