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{"ops":[{"insert":"Consider the equation\u00a0\u00a0\u00a0and the relation \u201c("},{"attributes":{"italic":true},"insert":"x, y"},{"insert":")\u00a0"},{"attributes":{"italic":true},"insert":"R"},{"insert":"\u00a0(0, 2)\u201d, where\u00a0"},{"attributes":{"italic":true},"insert":"R"},{"insert":"\u00a0is read as \u201chas distance 1 of\u201d.\u00a0\nFor example, \u201c(0, 3)\u00a0"},{"attributes":{"italic":true},"insert":"R"},{"insert":"\u00a0(0, 2)\u201d, that is, \u201c(0, 3) has distance 1 of (0, 2)\u201d. This relation can also be read as \u201cthe point ("},{"attributes":{"italic":true},"insert":"x, y"},{"insert":") is on the circle of radius 1 with center (0, 2)\u201d. In other words: \u201c("},{"attributes":{"italic":true},"insert":"x, y"},{"insert":") satisfies this equation\u00a0, if and only if, ("},{"attributes":{"italic":true},"insert":"x, y"},{"insert":")\u00a0"},{"attributes":{"italic":true},"insert":"R"},{"insert":"\u00a0(0, 2)\u201d.\u00a0\nDoes this equation determine a relation between\u00a0"},{"attributes":{"italic":true},"insert":"x"},{"insert":"\u00a0and\u00a0"},{"attributes":{"italic":true},"insert":"y"},{"insert":"? Can the variable\u00a0"},{"attributes":{"italic":true},"insert":"x"},{"insert":"\u00a0can be seen as a function of\u00a0"},{"attributes":{"italic":true},"insert":"y"},{"insert":", like\u00a0"},{"attributes":{"italic":true},"insert":"x=g(y)"},{"insert":"?\u00a0Can the variable\u00a0"},{"attributes":{"italic":true},"insert":"y"},{"insert":"\u00a0be expressed as a function of\u00a0"},{"attributes":{"italic":true},"insert":"x, like y= h(x)"},{"insert":"? If these are possible, then what will be the domains for these two functions?\u00a0What are the graphs of these two functions?\u00a0\nAre there points of the coordinate axes that relate to (0, 2) by means of\u00a0"},{"attributes":{"italic":true},"insert":"R"},{"insert":"?\u00a0\nYour Discussion should be a minimum of 250 words in length and not more than 750 words.\u00a0\n"}]}

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