ledburge9alla
Answered

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.

Verified Answer :

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 \(0.12x\)

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

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

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

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

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