Question

Which exponential function matches the table?

х
0
1
2
3
4
f(x)
27
9
3
1
1
3
A. f(x) = 27(3)*
=
OB. f(x) = 27(3)*
OC. f(x) = 3(1)
3*
O D. f(x) = 27(0)
*
C.
х
=

Answer 1

Explanation:

5.672x

Answer 2

Option B is the correct answer.

Explanation:

`f(x)=27\bigg((1)/(3)\bigg)^x` matches the table.

• When x = 0

`\implies f(x)=27\bigg((1)/(3)\bigg)^0= 27*1=27`

•When x = 1

`\implies f(x)=27\bigg((1)/(3)\bigg)^1= 27*(1)/(3)=9`

•When x = 2

`\implies f(x)=27\bigg((1)/(3)\bigg)^2= 27*(1)/(9)=3`

•When x = 3

`\implies f(x)=27\bigg((1)/(3)\bigg)^3= 27*(1)/(27)=1`

•When x = 4

`\implies f(x)=27\bigg((1)/(3)\bigg)^4= 27*(1)/(81)=(1)/(3)`