Which of the following is an odd function? g(x) = x2 g(x) = 5x – 1 g(x) = 3 g(x) = 4x

g(x) = 4x is an odd function.

1. g(x) =  is an even function .[as it is a parabola which is symmetric about y axis]

2. g(x) = 5x-1 is not even or odd function. [as it is a diagonal line]

3. g(x) = 3 is even [as this is a horizontal line parallel to x-axis]

4. g(x) = 4x is an odd function [as it is a diagonal line passing through the origin which makes it symmetric about the x-axis]

A function is said to be an even function if it is symmetric about the y-axis.

A function is said to be an odd function if it is symmetric about the x-axis.