Marshall is comparing the growth rates of f(x) = 6 * 1.5 ^ x and g(x) = 5x + 10 using this graphBased on the graph, he concludes that the growth rate of g(x) = 5x + 10 is always greater than the growth rate of f(x) = 6 * 1.5 ^ x Where is his mistake? point) Marshall is only considering a small portion of the domains of the functions. If he went farther to the left on the graph, he would observe that the growth rate of f(x) = 6 * 1.5 ^ x eventually surpasses the growth rate of g(x) = 5x + 10 negative values of The growth rate of g(x) = 5x + 10 is only greater than the growth rate of f(x) = 6 * 1.5 ^ x when is greater than approximately -1.3 Marshall is only considering a small portion of the domains of the functionshe went farther to the right on the graph, he would observe that the growth rate of f(x) = 6 * 1.5 ^ x eventually surpasses the growth rate of g(x) = 5x + 10 for large values of Marshall has it backward. The growth rate of f(x) = 6 * 1.5 ^ x is always greater than the growth rate of g(x) = 5x + 10
The correct answer is: Marshall is only considering a small portion of the domains of the functions. If he went farther to the left on the graph, he would observe that the growth rate of f(x) = 6 * 1.5 ^ x eventually surpasses the growth rate of g(x) = 5x + 10 for negative values of x.
