# WHAT?? They cut each other?

Level pending

How many points of intersection are there between the curves $$y=e^x$$, $$y=e^{-x}$$, $$y=x^x$$ and $$y=x^{-x}$$ in the interval $$(0, \infty)$$?

Assumptions: Consider intersection between any two, three or four curves above the line y=0.2.

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