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2-134.

Each of the curves graphed below is not a function. However, restricting the domain or range can turn a non-function into a function. Sketch a copy of each graph below onto your paper. Then highlight the largest portion of each curve that represents a function. In each case, did you restrict the domain or did you restrict the range? 

  1. Circle, centered at the origin, passing through the points (0, comma 4), (4, comma 0), (0, comma negative 4), & (negative 4, comma 0).

  1. Parabola opening to the right, vertex at the point (negative 2, comma 1), passing through the points (0, comma negative 1), & (0, comma 3).

  1. 2 U shaped curves, 1 opening up, vertex at the point (0, comma 2), passing through the points (4, comma 6) & (negative 4, comma 6), & 1 opening down, vertex at the point (0, comma negative 2), passing through the points (negative 4, comma negative 6) & (4, comma negative 6).

    In each case, can enough of the domain be restricted to create a function?

  1. Continuous, Decreasing lines, coming from the upper left, passing through the point (negative 1, comma 5), turning left at the point (3, comma 3), turning right at the point (negative 3, comma 0), turning left at the point (3, comma negative 3), continuing left & down through the point (negative 3, comma negative 6).

    In each case, can enough of the range be restricted to create a function?

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