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Graph the relation shown in the table. Is the relation a function? Why or why not?

Graph the relation shown in the table. Is the relation a function? Why or why not-example-1
User ReDEyeS
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1 Answer

4 votes

Answer:

  • not a function
  • an x-value is repeated

Explanation:

A function maps each value of the independent variable to one value of the dependent variable. If an input maps to two or more different outputs, the relation is not a function.

On a graph, two or more different output values for the same input will show up as points vertically aligned with each other. That is, a vertical line will intersect the graph in more than one place. When that happens, we say the graph does not pass the vertical line test, so is not a function.

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On the graph of these points, we show the vertical line that intersects two of the points of the given relation. The relation fails the vertical line test.

Graph the relation shown in the table. Is the relation a function? Why or why not-example-1
User Justcodin
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