Note: Your teacher will grade your responses to the following questions to ensure that you receive proper credit for your answers.
Use the vertical line test to determine if the relation {(–6, –2), (–2, 6), (0, 3), (3, 5)} is a function. Explain your respon
To use the vertical line test, we draw a vertical line through the graph of the relation and see if it intersects the graph at more than one point for any given x-value.
For the relation {(–6, –2), (–2, 6), (0, 3), (3, 5)}, let's plot the points on a graph:
(-6, -2)
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(-2, 6) ●
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(0, 3) ●
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(3, 5) ●
Now, let's draw a vertical line through the graph:
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As we can see, the vertical line only intersects the graph at one point for any given x-value. Therefore, the relation {(–6, –2), (–2, 6), (0, 3), (3, 5)} passes the vertical line test, and it is a function.