Writing Rules for Linear Functions by Recognizing Patterns

The video tutorial teaches how to recognize and write rules for linear functions by identifying patterns in data. It explains the concept of linearity, how to use tables to determine if a function is linear, and how to write a linear function in the form of Y = MX + B. The tutorial also covers graphing linear functions and understanding the domain and range of these functions.

What is the first step in identifying a linear pattern in a set of blocks?

• Check if the number of blocks is prime

• Look for a constant difference between consecutive terms

• Ensure all blocks are the same color

• Count the total number of blocks

How can you confirm that a table represents a linear function?

• By checking if the table has more than three columns

• By counting the number of rows

• By checking if the differences in Y values are consistent

• By ensuring all X values are even

What is the formula used to write a rule for a linear function?

• Y = AX + C

• Y = CX + D

• Y = BX + A

• Y = MX + B

What does the 'M' represent in the formula Y = MX + B?

• The slope of the line

• The Y-intercept

• The midpoint of the line

• The maximum value

When graphing a linear function, what does a discrete graph indicate?

• The graph is a circle

• The graph is a parabola

• The graph has continuous points

• The graph has distinct, separate points

What is the domain of a continuous graph?

• Only negative numbers

• All real numbers

• Only positive numbers

• Only integers

How do you determine the Y-intercept from a graph?

• By finding the lowest point on the graph

• By finding where the line crosses the X-axis

• By finding where the line crosses the Y-axis

• By finding the highest point on the graph