what is the range of the function f(x)= 3x^3 - 2x^2 + 4x - 4

Question

f(x)= 3x^3 - 2x^2 + 4x - 4

Answer 1

This is an odd function that is a polynomial.  These functions have a range in the interval (-∞, ∞).

Answer 2

It's a cubic polynomial. All ODD degree polynomials have range All Reals. (This refers to the highest degree, 3 in this case.) HOWEVER, the function isn't an odd function (because it includes a quadratic term, degree 2, it is classified "neither odd nor even".. This prior answer has been augmented to carry the distinction between odd degree & odd functions.