128k views
3 votes
Please help. I don’t understand these.

Please help. I don’t understand these.-example-1

1 Answer

4 votes

Answer:

No. This graph does not represent a function.

Explanation:

The easiest way to say it is that this is not a function because it does not pass the vertical line test. This test takes all theoretical vertical lines that pass through a graph; if any vertical line intersects the graph more than once, the graph does not represent a function.

Another way to say it is that each input can correspond to only a single output. So, for each x value, there can be only one y value. It must be remembered that the reverse is not true; one output can correspond to more than one input (as in quadratic functions). This is not the graph of a function because at the input x=2, for example, the output y equals -6, -2, 2, and 6.

To revisit the vertical line test, the vertical line x=2 intersects the graph four times.

This is not the graph of a function.

User Bhav
by
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories