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9-79.

Determine whether each graph shown below represents a function.

What are the components needed for a graph to be a function?

  1. Horizontal line, at, y = 2.

    Is a function.

  1. Circle, center at the point (negative 2, comma 3), passing through the points, (negative 4, comma 3), (negative 2, comma 1), (negative 2, comma 5), &  (0, comma 3).

    Is not a function.

  1. Upward parabola, vertex at the point (2, comma 1), passing through the points (0, comma 5), & (4, comma 5).

  1. Vertical line at, x, = 2.

  1. A constant function is a function where every input value gives the same output value. Are any of the relationships shown in parts (a) through (d) also constant functions? Explain why or why not