options: Build new functions from existing functions.

Extend the domain of trigonometric functions using the unit circle.

Define, evaluate, and compare functions.

Interpret functions that arise in applications in terms of the context.

Prove and apply trigonometric identities.

Analyze functions using different representations.

Construct and compare linear and exponential models and solve problems.

Model periodic phenomena with trigonometric functions.

Build a function that models a relationship between two quantities.

Interpret expressions for functions in terms of the situation they model.

Understand the concept of a function and use function notation.

Use functions to model relationships between quantities.
problem_activity: When Janaya started working, she researched how income tax was determined. She read that income up to and including $10,000 is taxed at a rate of 10%. Any income over $10,000 and up to and including $40,000 is taxed at a rate of 15%. For example, if Janaya earned $11,000 in one year, the first $10,000 would be taxed at a rate of 10% and the last $1,000 would be taxed at a rate of 15%.
How much income tax would Janaya pay if she earned $15,000 in one year?
Write a piecewise function to represent the situation.
How much more income tax would a person who earns $30,000 pay than a person who earns $10,000 in one year?


correct_option_index: 3