options: Construct and compare linear and exponential models and solve problems.

Define, evaluate, and compare functions.

Understand the concept of a function and use function notation.

Use functions to model relationships between quantities.

Prove and apply trigonometric identities.

Analyze functions using different representations.

Extend the domain of trigonometric functions using the unit circle.

Build a function that models a relationship between two quantities.

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

Build new functions from existing functions.

Model periodic phenomena with trigonometric functions.

Interpret functions that arise in applications in terms of the context.
problem_activity: Task
Is there an equilateral triangle $ABC$ so that  $\overline{AB}$ lies on the $x$-axis and $A$, $B$, and $C$ all have integer $x$ and $y$ coordinates?  Explain.


correct_option_index: 4