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

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