Comparing Functions: Tables vs. Equations

This lesson focuses on comparing functions represented as tables and equations. It covers identifying slopes and y-intercepts, and how these properties affect the relationship between functions. Two examples are provided: one comparing subscription costs for music downloads and another comparing book purchase costs online versus in-store. The lesson concludes with a discussion on determining the better value based on the number of items purchased.

What is the main goal of lesson 6.3?

• To understand the concept of limits

• To compare and contrast properties of two related functions represented as a table or equation

• To learn how to solve quadratic equations

• To study the properties of geometric shapes

In the equation y = mx + b, what does 'm' represent?

• The y-intercept

• The slope

• The constant term

• The x-intercept

For Josh's subscription, what is the slope in the equation y = 0.50x + 10?

• 0.50

• x

• y

• 10

How much does Maggie pay per song according to the table?

• 4.50 dollars

• 10 dollars

• 90 cents

• 50 cents

What is Maggie's y-intercept in her subscription cost function?

• 10

• 4.50

• 0.90

• 0

For 30 songs, whose subscription is cheaper?

• It depends on the month

• Josh's

• Maggie's

• Both are the same

What is the slope in the equation y = 7x + 2 for buying books online?

• 2

• 7

• y

• x

How much does each book cost at the bookstore according to the table?

• 7.50 dollars

• 7 dollars

• 10 dollars

• 2 dollars

What is the y-intercept for the bookstore's cost function?

• 7.50

• 7

• 0

• 2

For buying five books, which option is cheaper?

• Both are the same

• Buying at the bookstore

• Buying online

• It depends on the day