Exploring the Different Formats of Functions: Equations, Tables, and Graphs

The video tutorial explains the relationship between different formats of a function: equations, tables, and graphs. It highlights common misunderstandings about these formats being disconnected and demonstrates how each format represents the same function. Through examples, the video shows how to convert between these formats, focusing on linear functions. It covers how to derive a table and graph from an equation, how to find an equation and graph from a table, and how to determine a table and equation from a graph.

What is a common misunderstanding about the different representations of a function?

• They are completely unrelated.

• They represent different functions.

• They are all the same format.

• They are only used for linear functions.

How do you determine the table of values from the equation y = x + 3?

• By dividing each x value by 3.

• By multiplying each x value by 3.

• By adding 3 to each x value.

• By subtracting 3 from each x value.

What is the first step in plotting a graph from a table of values?

• Connect the points with a line.

• Calculate the slope of the line.

• Plot each pair of domain and range values as coordinates.

• Choose random points to plot.

How can you identify the slope from a table of values?

• By adding all the y values together.

• By finding the difference in y values divided by the difference in x values.

• By subtracting the smallest x value from the largest.

• By multiplying the x and y values together.

What does the y-intercept represent in a graph?

• The highest point on the graph.

• The lowest point on the graph.

• The point where the line crosses the y-axis.

• The point where the line crosses the x-axis.