Find the missing values for the exponential function represented by the table below.

x y

-2 4

-1 6

0 9

1?

2?

a. - 13.5 - 20.25

b. - 13.5 20.25

c. 6 4

d. 13.5 20.25

Answer: D

d. 13.5, 20.25

Step-by-step explanation:

An exponential function is monotonic and does not change sign. On this basis alone, the first three choices can be eliminated.

The common ratio is 6/4 = 3/2.

The term in the sequence after 9 is 9· (3/2) = 27/2 = 13.5.

The term in the sequence after 27/2 is (27/2) · (3/2) = 81/4 = 20.25.