Question

8.
Evaluate the function rule for the given value. y = 12 • 3^x for x = –2

A. 4/9
B. 4/3
C. –72
D. 4

Answer 1

Answer:

B

Step-by-step explanation:

Using the rule of exponents

$a^{-m}$ = $\frac{1}{a^{m} }$

Given

y = 12 × $3^{x}$ ← substitute x = - 2 into the expression

y = 12 × $3^{-2}$ = 12 × $\frac{1}{3^{2} }$ = 12 × $\frac{1}{9}$ = $\frac{12}{9}$ = $\frac{4}{3}$ → B

Answer 2

Answer:

B

Step-by-step explanation:

y= 12 *3 ^x , substitute x with -2

y=12 *3^-2 , use the rule  a^ - b =  1 /a^b

y= 12 / 3^2 , 3^2 =3*3 = 9

y= 12/9, divide both numbers by 3,  12÷3/ 9÷3

y= 4/3