SOLUTION: What is a function rule for this function? (0,1) (1,2) (2,4) (3,8) (4,16) Thanks so much!

Algebra ->  Functions -> SOLUTION: What is a function rule for this function? (0,1) (1,2) (2,4) (3,8) (4,16) Thanks so much!      Log On


   

Question 543111: What is a function rule for this function? (0,1) (1,2) (2,4) (3,8) (4,16)
Thanks so much!
Answer by jpg7n16(66) About Me  (Show Source):
You can put this solution on YOUR website!
y=2%5Ex
When you see that in each pairing, x is going up by 1. And in each pairing, y is being doubled. That indicates there's a relationship between 2 and x.
So you try y=2x:
2(0)=0 nope
Then try y=x^2
0^2=0 nope
Then y=2^x
2^0=1
2^1=2
2^2=4
2^3=8
2^4=16 yup!