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

Consider the equationand 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 "the point (x, y) is on 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 variablexbe seen as a function ofy, likex=g(y)?Can the variableybe expressed as a function ofx, like y= h(x)? If these are possible, then what will be 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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