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Can a linear equation represent a function if the straight line does not cross any lines of the graph?

  • Algebra 1 (Reiny or Kuai) - ,

    not sure what you mean by "any lines of the graph", are you talking about the x or y axes ?

    if a line is horizontal, then it must cross the y-axis
    and all horizontal lines are functions

    if a line is vertical, then it must cross the x-axis, it is NOT a function

    any other straight line must cross both the x and the y axes, and it would be a function

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