The answers to exercise marked [BB] can be found in the Back of the Book.Find the domain a...

The answers to exercise marked [BB] can be found in the Back of the Book.

Find the domain and range of each of the given functions of a real variable. In each case, determine whether the function is one-to-one and whether it is onto.

(a) [BB] ƒ: R → R defined by ƒ (x) = x3

(b) g: R → R defined by g (x) = x|x|

(c) β: (, ∞) → R defined by β(x)= log2(3x − 4)

(d) ƒ: R → R defined by f(x) = 2x−1 + 3