options: Analyze functions using different representations.

Prove and apply trigonometric identities.

Define, evaluate, and compare functions.

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

Construct and compare linear and exponential models and solve problems.

Model periodic phenomena with trigonometric functions.

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.

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.
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: 7