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

Answer:

Option B is the correct answer.

Step-by-step explanation:

$f(x)=27\bigg(\frac{1}{3}\bigg)^x$ matches the table.

• When x = 0

$\implies f(x)=27\bigg(\frac{1}{3}\bigg)^0= 27*1=27$

•When x = 1

$\implies f(x)=27\bigg(\frac{1}{3}\bigg)^1= 27*\frac{1}{3}=9$

•When x = 2

$\implies f(x)=27\bigg(\frac{1}{3}\bigg)^2= 27*\frac{1}{9}=3$

•When x = 3

$\implies f(x)=27\bigg(\frac{1}{3}\bigg)^3= 27*\frac{1}{27}=1$

•When x = 4

$\implies f(x)=27\bigg(\frac{1}{3}\bigg)^4= 27*\frac{1}{81}=\frac{1}{3}$