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

Step-by-step 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 ,  $b=\dfrac{6}{4}=\dfrac{3}{2}$

At x = 0

$9=A(\dfrac{2}{3})^0\\\\\Rightarrow\ A=9$

At x=1

$y=9(\dfrac{2}{3})^1=6$

At x=2

$y=9(\dfrac{2}{3})^2=4$

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