Answer:
[tex]f\left(x\right)=\ 2\left(2\right)^{x}[/tex]
Step-by-step explanation:
Step 1: Make a equation, f(x)= ab^x.
A is the y value, whenever the x value is zero. So, a is 2.
Lets put that in our equation:
f(x)= 2b^x.
B is the common ratio on the y values. When you follow the pattern, 2, 4, 8, 16, you realize that the common ratio is 2. 2*2 is 4, 4*2, is 8, 8*2 is 16, and so on. So the common ratio is 2.
Lets go ahead and add that to our equation:
f(x)= 2(2)^x.
There is no more steps in this process, so that is actually your final answer:
[tex]f\left(x\right)=\ 2\left(2\right)^{x}[/tex]
Hope this helps :)
-jp524
