Identifying Relationships in Functions

The video tutorial covers functions, focusing on additive and proportional relationships. It explains how additive relationships involve adding or subtracting from the input, while proportional relationships involve multiplying or dividing the input. The tutorial provides examples and demonstrates how to identify these relationships in tables. It also offers practice examples to reinforce understanding.

What are the two types of relationships focused on in this video?

• Additive and Subtractive

• Multiplicative and Divisive

• Additive and Proportional

• Linear and Non-linear

In an additive relationship, what operation is performed on the input?

• Square Root

• Exponentiation

• Addition or Subtraction

• Multiplication or Division

In a proportional relationship, what operation is performed on the input?

• Square Root

• Exponentiation

• Multiplication or Division

• Addition or Subtraction

Which equation represents an additive relationship?

• y = 4x

• y = 4/x

• y = x + 4

• y = x - 4

Which equation represents a proportional relationship?

• y = x + 5

• y = x - 5

• y = 5x

• y = 5/x

How can you identify an additive relationship using a table?

• By dividing corresponding X and Y values

• By multiplying corresponding X and Y values

• By subtracting corresponding X and Y values

• By adding corresponding X and Y values

How can you identify a proportional relationship using a table?

• By multiplying corresponding X and Y values

• By subtracting corresponding X and Y values

• By adding corresponding X and Y values

• By dividing corresponding X and Y values

In the first example table, what is the rule for the relationship?

• y = 4x

• y = x + 4

• y = x - 4

• y = 4/x

In the second example table, what is the rule for the relationship?

• y = 7/x

• y = x + 7

• y = x - 7

• y = 7x

In the third example table, what is the rule for the relationship?

• y = 1/2x

• y = x + 1/2

• y = 2x

• y = x - 1/2