1. True or False. The two functions f and g defined by f(x) = 3x 3 for x real and g(t) = 3t 3 for t real and positive are equal?
2. If functions f and g have domains Df and Dg respectively, then the domain of f / g is given by(A) the union of Df and Dg(B) the intersection of Df and Dg(C) the intersection of Df and Dg without the zeros of function g(D) None of the above
3.True or False. The graph of f(x) and that of f(x 2) are the same
4.Let the closed interval [a , b] be the domain of function f. The domain of f(x – 3) is given by
(A) the open interval (a , b)(B) the closed interval [a , b](C) the closed interval [a – 3 , b – 3](D) the closed interval [a 3 , b 3]
5.Let the interval (a , infinity) be the range of function f. The range of f(x) – 4 is given by(A) the interval (a – 4 , infinity)(B) the interval (a 4, infinity)(C) the interval (a, infinity)(C) None of the above
6.True or False. The equation y = | x | , with y >= 0, represents y as a function of x.