Question

A table of data is given.

x f(x)
-2 71
-1 13
0 3
1 0.6
2 0.1
Which exponential model best represents the data?
Of(x) = 3(1.2)^x
Of(x) = 2(0.3)^x
Of(x) = 2(3)^x
Of(x)=3(0.2)^x

Answer 1

D

Explanation:

Order of elimination:

1. the graph is going down exponentially. This means that the base is less than 1.

A and C are eliminated.

2. When x is equal to 0, f(x) = 3.

Substitute x for 0, and you'll find out that the only one possible is D.

Answer 2

The choice D.

`f(x) = 3 {(0.2)}^(x)`