True or False: The graph of f(x)= 3 sin x has greater amplitude than the graph of g(x)=-3 sin x. Explain your answer.

False. The graph of f(x) = 3 sin x has the same amplitude as the graph of g(x) = -3 sin x. The amplitude of a sine function is the absolute value of the coefficient that multiplies the sine term, which in this case is 3. Since the absolute value of -3 is also 3, the amplitude of both graphs is the same.