Question: Consider the equation=1and the relation ( x, y ) R (0, 2), where R is read as has distance 1 of. For example, (0, 3)

Consider the equation=1and the relation "(x, y)R(0, 2)", whereRis read as "has distance 1 of".

For example, "(0, 3)R(0, 2)", that is, "(0, 3) has distance 1 of (0, 2)". This relation can also be read as "(x, y) belongs to the circle of radius 1 with center (0, 2)". In other words: "(x, y) satisfies this equation if, and only if, (x, y)R(0, 2)".

Does this equation determine a relation betweenxandy? Can the variablexcan be seen as a function ofy, andybe seen as a function ofx? What are the domains for these two functions? What are the graphs of these two functions? Are there points of the coordinate axes that relate to (0, 2) by means ofR?

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