Which is the graph of f (x) = 100 (0.7) ?

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.