Find the equation of the exponential function represented by the table below:

Question

x. y

0. 0.1

1. 0.2

2. 0.4

3. 0.8

Answer 1

The basic form of the exponential equation is

y=a(b)^x

a is the initial value

b is the rate of increase or decrease

From the table, the initial value is 0.1

Do you see how the y values are doubling? This means b=2

Putting it together

y=0.1(2)^x