Comparing Functions: Key Concepts and Techniques

The video tutorial covers the topic of comparing functions using tables, graphs, equations, and verbal descriptions. It uses the example of phone companies to illustrate how to derive equations from tables and graphs, and how to compare costs based on different usage scenarios. The tutorial emphasizes understanding the slope-intercept form and calculating costs for different usage levels to determine the most cost-effective option.

What is the goal of comparing functions in this lesson?

• To learn about trigonometric functions

• To compare functions using tables, graphs, equations, and verbal descriptions

• To find the maximum value of a function

• To solve quadratic equations

What is the cost per minute for Company A?

• 10 cents

• 8 cents

• 15 cents

• 5 cents

How do you find the slope (m) from a table?

• By adding all the y-values

• By subtracting the x-values

• By multiplying the x and y values

• By dividing the change in y by the change in x

What is the equation derived for Company B?

• y = 0.08x + 15

• y = 0.12x + 5

• y = 0.10x + 10

• y = 0.05x + 20

How do you find the initial value (b) for Company B?

• By dividing the total cost by the number of minutes

• By using the slope-intercept form and solving for b

• By subtracting the slope from the total cost

• By setting x to zero

Which company is cheaper if you use 240 minutes a month?

• All companies have the same cost

• Company C

• Company B

• Company A

What is the cost per minute for Company C?

• 15 cents

• 20 cents

• 10 cents

• 25 cents

What is the initial value for Company C?

• 0 dollars

• 10 dollars

• 20 dollars

• 15 dollars

How much would Company C charge for 240 minutes?

• 35 dollars

• 50 dollars

• 75 dollars

• 60 dollars

Which company is the most cost-effective for 240 minutes?

• Company A and B

• Company C

• Company B

• Company A