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

Define, evaluate, and compare functions.

Use functions to model relationships between quantities.

Extend the domain of trigonometric functions using the unit circle.

Construct and compare linear and exponential models and solve problems.

Build new functions from existing functions.

Model periodic phenomena with trigonometric functions.

Build a function that models a relationship between two quantities.

Understand the concept of a function and use function notation.

Analyze functions using different representations.

Prove and apply trigonometric identities.

Interpret expressions for functions in terms of the situation they model.
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: 8