Question

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

Answer 1

Graph A. On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 49) and (0, 100).

Explanation:

Edge

Answer 2

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.