Is there an even function that has an inverse? Explain

Question

critical thinking 

Answer 1

Even functions have graphs that are symmetric with respect to the y-axis.  So, if (x,y) is on the graph, then (-x, y) is also on the graph.  Consequently, even functions are not one-to -one, and therefore do not have inverses.  

Answer 2

You have y=x².  Explain why that is.