Which statement describes the graph of an odd function
A. The graph is symmetric about the line Y equals X
B. The graph is symmetric about the X axis
C. The graph is symmetric about the line X equals zero
D. The graph is symmetric about the origin

Respuesta :

Statement A would be correct. Odd functions are symmetric in terms to the origin as even functions are symmetric in terms of the y-axis. That's why, a rotational change (of 180 degrees) does not really affect the graph of an odd function. You could also prove this by graphing y=x, y=x^3, y=x^5 and see if they are symmetrically by the line y=x. 

Hope I helped :) 
Which statement describes the graph of an odd function
A. The graph is symmetric about the line Y equals X
Q&A Education