Graphing and Analyzing Functions

The video tutorial explains the concept of independent and dependent variables, using tables to identify patterns between them. It demonstrates how to find the equation that represents these patterns and how to graph ordered pairs on a coordinate plane. The lesson concludes by connecting the points to form a line, illustrating the power of using tables to graph equations.

What is typically represented on the x-axis in a graph?

• Dependent variable

• Neither variable

• Independent variable

• Both variables

Which variable is usually plotted on the y-axis?

• Neither variable

• Both variables

• Independent variable

• Dependent variable

What is the purpose of using tables in relation to variables?

• To confuse students

• To eliminate variables

• To identify patterns

• To add complexity

In a table, which side typically represents the independent variable?

• Top side

• Bottom side

• Right side

• Left side

What does an input-output table help us understand?

• The color of variables

• The relationship between two variables

• The shape of variables

• The size of variables

What is the output when 2 is input into the machine?

• 10

• 8

• 6

• 4

What pattern is observed in the input-output table?

• Addition of 4

• Subtraction of 4

• Division by 4

• Multiplication by 4

What equation represents the pattern in the table?

• d = t + 4

• d = t - 4

• d = 4t

• d = t / 4

What is the result of 3 times 4 in the context of the table?

• 14

• 8

• 12

• 10

What does the table create that can be graphed?

• A circle

• An ordered pair

• A triangle

• A square