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Question 6 of 10For the x-values 1, 2, 3, and so on, the y-values of a function form a geometric sequence that increases in value. What type of function is it?A.Exponential decayB.Decreasing linearC.Exponential growthD.Increasing linear

Question

Question 6 of 10For the x-values 1, 2, 3, and so on, the y-values of a function form a geometric sequence that increases in value. What type of function is it?A.Exponential decayB.Decreasing linearC.Exponential growthD.Increasing linear

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Solution

The answer is C. Exponential growth.

Here's why:

A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio. If the y-values of a function form a geometric sequence that increases in value, this means that the function is increasing at an ever-accelerating rate. This is characteristic of exponential growth functions, not exponential decay, decreasing linear, or increasing linear functions.

Exponential growth functions have the form y = ab^x, where a is not equal to 0, b is greater than 1, and x is any real number. This means that as x increases, y increases at an ever-accelerating rate, which matches the description given in the question.

Therefore, the correct answer is C. Exponential

This problem has been solved

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