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 response.
A coordinate plane with ordered pairs (-6, -2), (-2, 6), (0, 3) and (3,5) plotted.
In order to determine if a relation is a function, we use the vertical line test. The vertical line test states that a relation is a function if and only if every vertical line that intersects the graph of the relation does so at most at one point.
Looking at the given ordered pairs (-6, -2), (-2, 6), (0, 3), and (3, 5), we can plot them on a coordinate plane.
After plotting the points, we can observe that for each vertical line we draw, it only intersects the graph at most at one point. Therefore, the relation {(–6, –2), (–2, 6), (0, 3), (3, 5)} passes the vertical line test and is a function.