Question

A 2-column table has 4 rows. The first column is labeled x with entries negative 1, 0, 1, 2. The second column is labeled f (x) with entries 18, 6, 2, two-thirds.
What is the decay factor of the exponential function represented by the table?

One-third
Two-thirds
2
6

Answer 1

One-third

Each time x increases by 1 the value is multiplied by 2/6 = 1/3 (and 2/3 ÷ 2 = 1/3, 6 ÷ 18 = 1/3), so the decay factor is 1/3.