options: Use functions to model relationships between quantities.

Define, evaluate, and compare functions.

Extend the domain of trigonometric functions using the unit circle.

Build a function that models a relationship between two quantities.

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

Model periodic phenomena with trigonometric functions.

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

Prove and apply trigonometric identities.

Build new functions from existing functions.

Understand the concept of a function and use function notation.

Construct and compare linear and exponential models and solve problems.

Analyze functions using different representations.
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: 9