Which of the following is an odd function?(1 point)

To determine which of the functions is an odd function, we need to use the definition of an odd function. A function \( f(x) \) is considered odd if \( f(-x) = -f(x) \) for all \( x \).

Let's evaluate each function:

1. \( f(x) = (x + 2)^3 \) \[ f(-x) = (-x + 2)^3 = -(x - 2)^3 \neq -f(x) \] (Not an odd function)

2. \( f(x) = 4x^2 \) \[ f(-x) = 4(-x)^2 = 4x^2 = f(x) \] (Even function)

3. \( f(x) = 3x^4 \) \[ f(-x) = 3(-x)^4 = 3x^4 = f(x) \] (Even function)

4. \( f(x) = 4x^3 \) \[ f(-x) = 4(-x)^3 = -4x^3 = -f(x) \] (Odd function)

Based on this analysis, the function that is an odd function is:

\( f(x) = 4x^3 \).