Question

Determine if the relation defines y as a function of x. 2 4 -3 -1 2 Yes, this relation defines y as a function of x. No, this relation does not define y as a function of x.

Answer 1

We know that a relation is called a function if for each input there exist a unique output i.e. if for each x-value there is a unique y-value.

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Now of we draw a vertical line at x = 1 on the above graph, then we can notice that the line will intersect the graph at 3 different points. This implies that for one x-value there will be three different values of y.

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So the answer is no. The relation does not define y as a function of x.