Final answer:
The vertical line test is used to determine if a graph represents a function, which can be assisted by graphing calculators such as the TI-83, TI-83+, and TI-84+ models.
Step-by-step explanation:
The vertical line test is a method used to determine whether a graph represents a function. This involves using a vertical line to check if it intersects the graph at more than one point. If a vertical line intersects a graph multiple times, that graph does not represent a function.
Graphing calculators, such as the TI-83, TI-83+, and TI-84+ models, can help plot graphs and find the line of best fit, making it easier to visually apply the vertical line test. Moreover, these calculators can identify outliers by calculating the distance from the data points to the best-fit line and determining if they are beyond a set threshold such as two standard deviations.
When using a calculator to determine the line of best fit, the LinRegTTest function can be particularly useful if available. If not, manual calculations are necessary. Calculators can store, plot data, and ultimately help users find and visualize the relationships between the data points.