Two manifolds are homeomorphic if you can deform one into the other and back again continously. Permissable deformations include stretching, squeezing and twisting, but not ripping, tearing and puncturing. This leads to the famous equivalence between a dougnut and a mug.

Step-by-step explanation:

(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.

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step-by-step explanation: