Linear Functions and Scatter Plots

The video tutorial explains how to work with an explicit function, x_subn = 3n - 1. It guides viewers through creating a table of values for various nth terms, calculating these terms, and then plotting them on a scatter plot. The tutorial uses specific n values (0, 1, 2, and 3) to demonstrate the process, showing how to calculate the corresponding x values and visualize them as coordinate points on a graph.

What is the explicit function given in the video?

• x_n = 2n + 1

• x_n = 3n - 1

• x_n = n^2 - 1

• x_n = 4n + 2

What is the x value when n = 0 using the function x_n = 3n - 1?

• 0

• -1

• 1

• 3

Calculate the x value for n = 2 using the function x_n = 3n - 1.

• 5

• 7

• 6

• 4

Which of the following points is plotted on the scatter plot?

• (2, 5)

• (3, 9)

• (0, 0)

• (1, 1)

What does the scatter plot of the points indicate about the function?

• It is not a function.

• It is a quadratic function.

• It is a linear function.

• It is a constant function.