Question

Find the f(0) and f(1)

Answer 1

C. f(0) = 45; f(1) = 15

Explanation:

In each case, replace x with the value you are given. Since one of the values of x is 0, recall that any number (except 0) raised to the 0 power equals 1. Also any number raised to the 1 power equals itself.

`f(x) = 45((1)/(3))^x`

Find f(0):

`f(0) = 45((1)/(3))^0`

`f(0) = 45(1)`

`f(0) = 45`

Find f(1):

`f(1) = 45((1)/(3))^1`

`f(1) = 45((1)/(3))`

`f(1) = 15`

Answer 2

C

Explanation:

to evaluate substitute x = 0 and x = 1 into f(x)

note that
`a^(0)` = 1

f(0) = 45 ×
`(1/3)^(0)` = 45 × 1 = 45

f(1) = 45 ×
`(1/3)^(1)` = 45 ×
`(1)/(3)` = 15