Comparing Linear Functions: Key Concepts and Techniques

The video tutorial covers how to compare linear functions using graphs, tables, and equations. It explains the steps to find the slope and Y-intercept of each function and create equations for comparison. The tutorial emphasizes the greater impact of slope on function behavior compared to the Y-intercept. An example is provided to illustrate the process of comparing two functions. The session concludes with a summary of the steps and notes for students to add to their notebooks.

What are the three methods mentioned for comparing linear functions?

• Graph, table, and diagram

• Graph, diagram, and equation

• Equation, table, and chart

• Graph, table, and equation

What is the first step in comparing linear functions?

• Drawing the graph

• Finding the slope

• Creating the equation

• Finding the Y-intercept

Why does the slope have a greater impact on the relationship between variables?

• Because it happens only once

• Because it repeats multiple times

• Because it is always positive

• Because it is always negative

What is the part of the equation that only happens once?

• Slope

• X-value

• Y-intercept

• Coefficient

In the example, what is the slope of function A?

• 3

• 2

• 1

• 4

What is the Y-intercept of function B in the example?

• 3

• 4

• -4

• 0

What is the equation form used to compare linear functions?

• y = cx + d

• y = mx + b

• y = ax + b

• y = bx + c

Which function has the greater slope in the example provided?

• Function B

• Function A

• Cannot be determined

• Both have the same slope

What should be done after calculating the slope and Y-intercept?

• Create a table

• Compare the values

• Draw a graph

• Write the equation

What is the final step mentioned in the lesson?

• Calculate the slope

• Glue the notes into the notebook

• Compare the equations

• Find the Y-intercept