Comparing Functions in 8th Grade Mathematics

Mr. Talley introduces eighth grade lesson 5.2 on comparing functions, focusing on comparing components like slope and y-intercept. The lesson reviews the concept of slope as a rate of change and demonstrates how to calculate it using equations, graphs, and tables. Three examples are provided to compare rates of change and y-intercepts, helping students understand how to analyze and compare different functions.

What is the main goal of the lesson?

• To learn about quadratic functions

• To solve linear equations

• To understand the concept of derivatives

• To compare the components between two functions

What is another term for slope?

• X-intercept

• Constant term

• Rate of change

• Y-intercept

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

• Slope

• Y-intercept

• Constant term

• X-intercept

How do you calculate slope given two points (x1, y1) and (x2, y2)?

• (y2 - y1) / (x2 - x1)

• (x2 - x1) / (y2 - y1)

• (x1 - x2) / (y1 - y2)

• (y1 - y2) / (x1 - x2)

Which has the greater rate of change: y = 3x - 5 or a graph with a slope of 4/3?

• The graph with a slope of 4/3

• Both have the same rate of change

• Cannot be determined

• y = 3x - 5

What is the slope of a line passing through points (2, 5) and (6, 9)?

• 2

• 0.5

• 1

• 4

Given a table with points (1, 7) and (3, 11), what is the slope?

• 1

• 4

• 3

• 2

What is the y-intercept of the function y = 4x + 2?

• -2

• 4

• 2

• 0

How can you find the y-intercept from a table of values?

• Find the highest y-value

• Calculate the slope

• Find the lowest y-value

• Look for the point where x = 0

Which function has a greater y-intercept: y = 4x + 2 or a table with y-intercept -2?

• Cannot be determined

• Both have the same y-intercept

• The table with y-intercept -2

• y = 4x + 2