Respuesta :

Answer:

Graph C) represents a function.

Step-by-step explanation:

Graph C) is the only graph that passes the vertical line test, a way to determine if a graph is a function. All other graphs do not pass the vertical line test. The vertical line test states that if a vertical line drawn intersects the graph of the relation more than once, then the relation is a NOT a function.

The function is indeed a relationship that has only one outcome for each input value (x-value) and output value (y-value). As a result, all functions could be regarded as relationships. However, not all relations are functions because not all of them satisfy the criterion, so each unique input generates just one output.

  • The third option seems to be the only graph in the present situation that satisfies the vertical line test and determines if a graph is a function.
  • The vertical line test fails on all other graphs.
  • According to the diagonal line test, if a vertical line drawn over the graph of a relation meets it again, the relation is not a function.

Therefore, the final answer is "Option C".

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