options: Analyze functions using different representations.

Use functions to model relationships between quantities.

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

Build new functions from existing functions.

Define, evaluate, and compare functions.

Extend the domain of trigonometric functions using the unit circle.

Model periodic phenomena with trigonometric functions.

Understand the concept of a function and use function notation.

Prove and apply trigonometric identities.

Build a function that models a relationship between two quantities.

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

Construct and compare linear and exponential models and solve problems.
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: 8