Find the global max/min for z=xy^2 - 5 on the region bounded by y=x

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Find the global max/min for z=xy^2 - 5 on the region bounded by y=x and y=1-x^2 in the xy-plane.
 
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And what have you done so far?
 


I found the critical point of z=xy^2 - 5 at (0,0), but I do not know how to relate this to the boundary.
 
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