<prompt> Determine if the given function is an odd function or an even function.fx 2x  <response>: The given function, fx 2x, is an odd function.Here is the explanation: A function is considered odd when -fx f-x. In other words, the symmetry of the graph of an odd function is about the origin. Lets apply this to the given function. f-x 2-xf-x -2xNow, lets negate fx:-fx -2xSince -fx f-x, then the given function fx 2x is an odd function. 