Understanding Additive and Proportional Relationships

This 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 video provides examples and demonstrates how to identify these relationships in tables, offering strategies to determine the rules governing the input-output relationships. The tutorial concludes with practice examples to reinforce understanding.

What are the two types of relationships discussed in the video?

• Proportional and Linear

• Additive and Exponential

• Linear and Quadratic

• Additive and Proportional

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

• Multiplication or Division

• Addition or Subtraction

• Exponentiation

• Logarithm

If the equation is y = x + 5, what type of relationship is it?

• Proportional

• Additive

• Exponential

• Quadratic

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

• Logarithm

• Exponentiation

• Multiplication or Division

• Addition or Subtraction

If the equation is y = 5x, what type of relationship is it?

• Proportional

• Additive

• Exponential

• Quadratic

When identifying an additive relationship in a table, what should be consistent?

• The sum of y and x

• The product of y and x

• The ratio of y to x

• The difference between y and x

When identifying a proportional relationship in a table, what should be consistent?

• The ratio of y to x

• The difference between y and x

• The product of y and x

• The sum of y and x

In the table, if y = 4x, what type of relationship is it?

• Exponential

• Proportional

• Quadratic

• Additive

If the table shows y = x - 7, what type of relationship is it?

• Additive

• Exponential

• Proportional

• Quadratic

In the table, if y = 1/2x, what type of relationship is it?

• Quadratic

• Exponential

• Proportional

• Additive