Question

Evaluate the function rule for the given value. y = 6 • 4x for x = –3

a. 3 divided by 8.

b. –72

c. 3 divided by 32.

d. 3 divided by 128.

Answer 1

i guess the answer is C

Answer 2

The correct option is C.

Explanation:

The given function is

`y=6\cdot 4^x`

Substitute x=-3 in the given function.

`y=6\cdot 4^(-3)`

`y=(6)/(4^3)`
`[\because x^(-1)=(1)/(x)]`

`y=(6)/(64)`

Cancel out the common factor.

`y=(3)/(32)`

Therefore the correct option is C.