options: Construct and compare linear and exponential models and solve problems.

Extend the domain of trigonometric functions using the unit circle.

Understand the concept of a function and use function notation.

Analyze functions using different representations.

Build a function that models a relationship between two quantities.

Define, evaluate, and compare functions.

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

Model periodic phenomena with trigonometric functions.

Use functions to model relationships between quantities.

Build new functions from existing functions.

Prove and apply trigonometric identities.

Interpret expressions for functions in terms of the situation they model.
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: 10