Overview
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.