options: Define, evaluate, and compare functions.

Prove and apply trigonometric identities.

Build new functions from existing functions.

Construct and compare linear and exponential models and solve problems.

Analyze functions using different representations.

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

Understand the concept of a function and use function notation.

Extend the domain of trigonometric functions using the unit circle.

Use functions to model relationships between quantities.

Model periodic phenomena with trigonometric functions.

Build a function that models a relationship between two quantities.

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: 6