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Does this graph show a function? Explain how you know

Does this graph show a function? Explain how you know-example-1

2 Answers

1 vote

Answer:

A. No; the graph fails the vertical line test

Explanation:

Apex

Hope this helps Have a nice day

User James Tang
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Hello!

In a function, each input must have one output. Therefore, if two parts of the graph are on the same x-value, it is not a function.

To test this, we can use the vertical line test. When we move a vertical line across the graph, if it any time it hits two points on the graph, it is not a function.

For example, if our vertical line went through the line x=2, it would hit our graphed function twice. This means 2 has two outputs, so it is not a function, and our answer is A) No, it fails the vertical line test.

I hope this helps!
User Inso Reiges
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