The graph of f (x) = 100 x 1.5 and g (x) = 100x + 100 is shown. Which of the following statements is TRUE?
Statement #1: While the growth rate of f(x) is initially greater than the growth rate of g(x), the growth rate of g(x), keeps increasing and eventually surpasses the growth rate of f(x).
Statement #2: The growth rate of g(x) is greater than the growth rate of f(x) between approximately x = 0 and x = 4.
Statement #3: 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, by x = 2.5, surpasses the growth rate of g(x).
Statement #1 is FALSE.
Statement #2 is FALSE.
Statement #3 is TRUE.