Write the inverse proposition of odd function image with respect to the origin symmetry, and judge whether the true and false even function with respect to Y-axis symmetry is symmetric with respect to the origin
Inverse: an image symmetric about the origin is an odd function
No: the image of odd function is not asymmetric about the origin
Inverse No: an image that is not symmetric about the origin is not an odd function
The above propositions are all true propositions
Even functions are not symmetric about the origin