For each graph below, state whether it represents a function. 

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For each graph below, state whether it represents a function.

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SOLUTION:

Graph 1 does not represent a function.

Graph 2 represents a function.

Graph 3 does not represent a function

Graph 4 represents a function

Graph 5 does not represent a function

Graph 6 does not represent a function

EXPLAINATION:

GIVEN A GRAPH, USE THE VERTICAL LINE TEST TO DETERMINE IF THE GRAPH REPRESENTS A FUNCTION.

  1. Inspect the graph to see if any vertical line drawn would intersect the curve more than once.
  2. If there is any such line, the graph does not represent a function.
  3. If no vertical line can intersect the curve more than once, the graph does represent a function.

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