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Using the graph, find the
1. Domain
2. Range
3. Is it a function? Why or why not?

Using the graph, find the 1. Domain 2. Range 3. Is it a function? Why or why not?-example-1

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Answer:

  • domain: {-5, -4, 2, 5}
  • range: {-6, 1, 3, 4, 5}
  • no: fails the vertical line test

Explanation:

The domain is the list of x-values of the points on the graph. It is ...

{-5, -4, 2, 5}

The range is the list of y-values of the points on the graph. It is ...

{-6, 1, 3, 4, 5}

__

Two of the points, (2, 1) and (2, 4), have the same x-value. When a single input has multiple outputs, the relation is not a function.

If you were to draw a vertical line at x=2, it would intersect the relation in more than one place. Thus, we say the relation "fails the vertical line test." A vertical line will never intersect the graph of a function in more than one place.

User MIbrah
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