Question

E.J. has shown that a function, f(x), grows by 12% for every unit in the domain. What does this prove?

The function f(x) is an arithmetic sequence.
The function f(x) is a geometric sequence.
The function f(x) is not a sequence.
This does not prove anything.

Answer 1

The answer is B I just took the test

Answer 2

B. The function f(x) is a geometric sequence.

Explanation:

We are given that,

The function f(x) grows by 12% for every unit in the domain.

That is,

For the initial value, let the output value be x.

For the next value, the output will be
`0.12x`

For the next value, the output will be
`0.12* 0.12x=(0.12)^2x`

For the next value, the output will be
`(0.12)^3x` and so on..

Thus, the output values are increasing by the rate
`((0.12)^2)/(0.12)=0.12`

Hence, the function f(x) represents a geometric sequence.