Understanding Linear Functions and Graphs

The video tutorial covers the different representations of linear functions, including tables, graphs, and equations. It explains how to create and interpret tables by identifying patterns and Y intercepts, how to plot points on a graph and understand scales, and how to build linear functions using equations by identifying coefficients and Y intercepts.

What are the three main types of representations for linear functions?

• Table, graph, and equation

• Table, chart, and diagram

• Graph, chart, and equation

• Diagram, table, and graph

In a table for linear functions, which variable is typically placed on the left side?

• Y variable

• Z variable

• X variable

• W variable

Why is it important to start the X variable at zero in a table?

• To find the midpoint

• To determine the Y intercept

• To identify the slope

• To calculate the average

How do you determine the Y intercept from a table?

• By looking at the first Y value when X is zero

• By calculating the average of Y values

• By finding the last Y value

• By subtracting the first X value from the first Y value

What is the first step in creating a table for a linear function?

• Start with X as zero

• Start with Y as zero

• Start with X as one

• Start with Y as one

What is the first step in creating a table for a linear function?

• Start with X as zero

• Start with Y as zero

• Start with Y as one

• Start with X as one

What is the pattern in the Y column for a linear function?

• Exponential

• Multiplication

• Division

• Addition or subtraction

How can you tell if a function is linear based on the pattern?

• If it involves addition or subtraction

• If it involves division

• If it involves multiplication

• If it involves exponentiation

What is the pattern in the Y column if the function is linear?

• Multiplication

• Addition or subtraction

• Exponentiation

• Division

What is the next step after creating a table for a linear function?

• Writing an essay

• Drawing a diagram

• Plotting a graph

• Creating a chart