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Function or not a function?

Function or not a function?-example-1

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Step-by-step explanation

  • How to see if a shown graph is function or not?

If we want to check that a graph is function or not, we have a way to check by doing these steps.

  1. Draw a vertical line, make sure that a line has to pass through or intercept a graph.
  2. See if a line intercepts a graph more than once.

If a line intercepts a graph only one point, a graph is indeed a function. Otherwise, not a function but a relation instead. That includes if a line intercepts more than a point which doesn't make a graph a function.

From the graph, if we follow these steps, we will see that a line will only pass or intercept the graph only one point. Hence, the graph is indeed a function. The following graph that is shown is called "Parabola" for a < 0.

Answer

The graph is a function.

User Gatteo
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