options: Model periodic phenomena with trigonometric functions.

Extend the domain of trigonometric functions using the unit circle.

Build new functions from existing functions.

Build a function that models a relationship between two quantities.

Prove and apply trigonometric identities.

Use functions to model relationships between quantities.

Define, evaluate, and compare functions.

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

Construct and compare linear and exponential models and solve problems.

Analyze functions using different representations.

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

Understand the concept of a function and use function notation.
problem_activity: Create a graph of a function that represents the height above the ground of the passenger car for a 225- foot diameter Ferris wheel that completes three turns, where each turn takes 2 minutes. Assume passengers board at the bottom of the wheel, which is 5 feet above the ground, and that the ride begins immediately afterward. Provide appropriate labels on the axes.
Explain how the features of your graph relate to the situation.


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