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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.

Respuesta :

ccannon1985
The answer is B I just took the test

Answer:

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

Step-by-step 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 [tex]0.12x[/tex]

For the next value, the output will be [tex]0.12\times 0.12x=(0.12)^2x[/tex]

For the next value, the output will be [tex](0.12)^3x[/tex] and so on..

Thus, the output values are increasing by the rate [tex]\frac{(0.12)^2}{0.12}=0.12[/tex]

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

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