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

9514 1404 393

  y = 2^x

Step-by-step explanation:

The x-values are sequential integers, which helps the discovery of the function. The y-values have a common ratio of 2 = 2/1 = 4/2 = 8/4. This is the base for the exponential function.

The initial value of y=1 at x=0 tells you the multiplier of the exponential factor is 1, and the exponent is x (with no additions or subtractions). Your function is ...

  y = 2^x

the first one, all those points on the line just make a strait line.