options: Define, evaluate, and compare functions.

Use functions to model relationships between quantities.

Analyze functions using different representations.

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

Build a function that models a relationship between two quantities.

Prove and apply trigonometric identities.

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

Build new functions from existing functions.

Extend the domain of trigonometric functions using the unit circle.

Understand the concept of a function and use function notation.

Construct and compare linear and exponential models and solve problems.

Model periodic phenomena with trigonometric functions.
problem_activity: Task
Antonio and Juan are in a 4-mile bike race. The graph below shows the distance of each racer (in miles) as a function of time (in minutes).
[IMG]
Who wins the race? How do you know?
Imagine you were watching the race and had to announce it over the radio, write a little story describing the race.


correct_option_index: 1