Question

What is the decay factor of the exponential function represented by the table?

1. 1/3
2. 2/3

table:
x f(x)
-1 18
0 6
1 2
2 2/3

Answer 1

Option 2 is correct.

Explanation:

We have been provided a table of values of an exponential function and we are asked to find out the decay factor of the function.

Upon looking at our table we can see that every time x increases by one our y value remains one-third of the previous value.

To find out decay factor we will subtract 1/3 from 1.

`1-(1)/(3) =(3-1)/(3) =(2)/(3)`

Therefore, decay factor of the exponential function is
`(2)/(3)` and option 2 is correct choice.