Find the equation of the exponential function represented by the table below:
0
2
1
4
2
8
3
16

9514 1404 393
Answer:
y = 2·2^x
Step-by-step explanation:
When the exponential function is of the form ...
y = a(b^x)
The value of 'a' is the value of y when x=0. The table tells us a = 2.
The value of 'b' is the ratio between values of y when their corresponding x-values differ by 1. The table tells us b = (4/2) = 2.
Then the exponential function describing the table is ...
y = 2(2^x)