options: Understand the concept of a function and use function notation.

Use functions to model relationships between quantities.

Build a function that models a relationship between two quantities.

Extend the domain of trigonometric functions using the unit circle.

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

Model periodic phenomena with trigonometric functions.

Build new functions from existing functions.

Construct and compare linear and exponential models and solve problems.

Define, evaluate, and compare functions.

Analyze functions using different representations.

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

Prove and apply trigonometric identities.
problem_activity: Given:
$${{f(x)}=\mathrm{cos}(2x)}$$
$${g(x)=-\mathrm{cos}(x)}$$
[IMG]
a.   Describe the period, amplitude, and midline of the function
$${f(x)}$$
.
b.   Where is
$${f(x)}=g(x)$$
over the domain of
$${0\leq x \leq 2\pi}$$
?


correct_option_index: 11