Question

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

xy
-2 4
-1 6
0 9
1
2

a.
-13.5
-20.25

c.
6
4

b.
-13.5
20.25

d.
13.5
20.25

Answer 1

d if I'm not mistaking

Answer 2

Answer: c.

6

4

Explanation:

The exponential function is given by :-

`y=Ab^x`, where A is the initial amount , b is common ratio and x is time period.

We know that in exponential functions, the ratio of the consecutive value of y is same.

From the table ,
`b=(6)/(4)=(3)/(2)`

At x = 0

`9=A((2)/(3))^0\\\\\Rightarrow\ A=9`

At x=1

`y=9((2)/(3))^1=6`

At x=2

`y=9((2)/(3))^2=4`

Hence, the missing values for the exponential function : c. 6 4.