Exploring Function Comparisons

This video tutorial teaches how to compare functions by examining their rate of change using tables, graphs, and equations. It explains the concept of slope, how to identify it in different forms, and how to apply the slope formula. The lesson includes practical examples and exercises to help understand and compare rates of change in various scenarios, such as crafting and pool filling. The tutorial concludes with a comparison of different rates of change and a summary of key concepts.

What is another term for 'rate of change'?

• Intercept

• Slope

• Constant

• Variable

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

• Y-intercept

• Constant

• X-intercept

• Slope

How do you find the slope using two points?

• Multiply the x-values and y-values

• Add the x-values and y-values

• Divide the y-values by the x-values

• Subtract the y-values and divide by the difference of the x-values

What is the slope of the equation y = 2/5x + 3?

• 2

• 3

• 5

• 2/5

Which function has the greatest rate of change among the given examples?

• -3

• 1.5

• 0.25

• 0.4

Who makes signs at a greater rate, Ty or Harrison?

• Both have the same rate

• Harrison

• Ty

• Cannot be determined

How many signs does Ty make in 12 hours?

• 45

• 40

• 42

• 50

What is Julie's rate of filling up her pool?

• 4 gallons per minute

• 8400 gallons per minute

• 3.75 gallons per minute

• 5.2 gallons per minute

Who is losing weight at a faster rate, Reese or Kevin?

• Reese

• Kevin

• Both at the same rate

• Cannot be determined

What is the slope of the equation y = 3/5x + 2?

• 3/5

• 2

• 1/2

• 5/3