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This is not a function. To be a function, there must be a one to one relationship between the independent variable (usually represented by the horizontal or x axis) and the dependent variable (usually represented by the vertical or y axis). A line with undefined slope is a vertical line, so there are an infinite number of possibilities for y and only one possible value of x, so this is not a function.

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Q: Is a line with undefined slope the graph of a function?
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