options: Build new functions from existing functions.

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

Prove and apply trigonometric identities.

Analyze functions using different representations.

Use functions to model relationships between quantities.

Understand the concept of a function and use function notation.

Extend the domain of trigonometric functions using the unit circle.

Construct and compare linear and exponential models and solve problems.

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

Define, evaluate, and compare functions.

Build a function that models a relationship between two quantities.

Model periodic phenomena with trigonometric functions.
problem_activity: Task
Use the graph (for example, by marking specific points) to illustrate the statements in
(a)–(d).  If possible, label the coordinates of any points you draw.
[IMG]
$f(0) = 2$
$f(−3)=f(3)=f(9)=0$
$f(2) = g(2)$
$g(x)>f(x)$ for $x>2$


correct_option_index: 5