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

SydSu22
Dec 6, 2018

#1**+3 **

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 .....

ElectricPavlov
Dec 6, 2018