The exponential function shown in the graph models the sequence 1,1/3,1/9,1/27, ... What is the domain of the function?
A)(0, ∞)
B) [0, ∞)
C) {0, 1, 2, 3, ...}
D) {1, 2, 3, ...}
The Graph is y=3^-x
imho, the question is ambiguous. from what you say, you are shown a continuous graph of the function $\displaystyle y = 3^{-x}$ (shown in black), but the question says the function models the discrete sequence 1 , 1/3 , 1/9 , ... (the red dots).
the domain of the continuous function is $\displaystyle [0, \infty)$
the domain of the discrete function is $\displaystyle \{0,1,2,3,...\}$