Creating Functions by Analyzing Situations

This lesson covers the concept of functions, including domain and range, and clarifies function notation. It provides examples of solving functions and introduces the creation of a cost function for a TV over time. The lesson concludes with a unit analysis to validate the cost function equation.

What is the range of a function?

• The set of all possible values for both input and output

• The set of all possible input values

• The set of all possible output values

• The difference between the highest and lowest values

In the function f(x) = 3x + 5, what is f(2)?

• 11

• 10

• 8

• 13

What is the initial cost of the TV in the cost analysis problem?

• $315

• $300

• $330

• $15

How much does the TV cost in electrical expenses per year?

• $10

• $20

• $25

• $15

What is the average annual cost if the TV is owned for 2 years?

• $175

• $150

• $180

• $165

What is the formula for the average annual cost of the TV over t years?

• c(t) = (300 + 15t) / t

• c(t) = 300 + 15t

• c(t) = 300t + 15

• c(t) = 15t / 300

What happens to the unit 'year' in the cost function's unit analysis?

• It becomes a fraction

• It doubles

• It cancels out

• It remains in the final unit