Use the table to answer the question.
Term Number | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9
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Sequence for | 4 | 8 | 16| 32| 64| 128| 256| 512| 1024
f (x) = 2 x 2^x
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Sequence for
g (x) = 10x + 2 |12 |22|32| 42| 52| 62 | 72 | 82 | 92
The sequences for f (x) = 2 x 2^x and g(x) are shown. Which of the following statements is true?
Statement #1: While the growth rate of g(x) is initially greater than the growth rate of f(x), the growth rate of f(x) keeps increasing and eventually surpasses the growth rate of g(x).
Statement #2: The growth rate of g(x) is greater than the growth rate of f(x) between the second term and the fifth term.
Statement #3: While the growth rate of f(x) is initially greater than the growth of g(x), the growth rate of g(x) keeps increasing and eventually surpasses the growth rate of f(x).