Consider the equationand the relation "(x, y)R(0, 2)", meaning, the point (x, y) is 1 unit distance away from the point (0, 2).

For example, "(0, 3)R(0, 2)", that is, "the point (0, 3) is1 unit distance away from the point(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? Meaning, is there a relation between x and y to have the pair (x, y) related to the pair (0, 2). 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 on the coordinate axes that relate to (0, 2) by means ofR?