Question

Find the equation of the exponential function represented by the table

below:
2
y
0
1
1
2
2
4
3
8.

Answer 1

9514 1404 393

Answer:

y = 2^x

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