I regret that I can see no function shown.
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If the graph is a function, no line perpendicular to the X-axis can intersect the graph at more than one point.
If for every point on the horizontal axis, the graph has one and only one point corresponding to the vertical axis; then it represents a function. Functions can not have discontinuities along the horizontal axis. Functions must return unambiguous deterministic results.
The graph of an exponential function f(x) = bx approaches, but does not cross the x-axis. The x-axis is a horizontal asymptote.
The zeros of a polynomial represent the points at which the graph crosses (or touches) the x-axis.
If you ignore the print, then it has a plane of symmetry (possibly) but not an axis of symmetry. If you ignore the print and the "pop-top" part, then it has both.