I think you meant: "Which is the graph of f(x)=100(0.7)^x?" Unfortunately, you have not shared the four possible answer choices.
Graph f(x)=100(0.7)^x:
Recognize that this is a decaying exponential function, since the common ratio, 0.7, is between 0 and 1. Each time x increases,s f(x) decreases.
Table of x, y values:
x y
0 100(0.7)^0 = 100(1) = 100
1 100(0.7)^1 = 70
2 100(0.7)^2 = 100(0.49) = 49
and so on.
The graph never crosses or touches the x-axis. There is no vertical asymptote, but there is a horiz. one: y=0.
