Question

Find the f(0) and f(1)

Answer 1

Answer:

C

Step-by-step 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 × $\frac{1}{3}$ = 15

Answer 2

Answer:

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

Step-by-step 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.

$f(x) = 45(\dfrac{1}{3})^x$

Find f(0):

$f(0) = 45(\dfrac{1}{3})^0$

$f(0) = 45(1)$

$f(0) = 45$

Find f(1):

$f(1) = 45(\dfrac{1}{3})^1$

$f(1) = 45(\dfrac{1}{3})$

$f(1) = 15$