options: Use functions to model relationships between quantities.

Build a function that models a relationship between two quantities.

Construct and compare linear and exponential models and solve problems.

Model periodic phenomena with trigonometric functions.

Understand the concept of a function and use function notation.

Extend the domain of trigonometric functions using the unit circle.

Analyze functions using different representations.

Build new functions from existing functions.

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

Define, evaluate, and compare functions.

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: 4