options: Build a function that models a relationship between two quantities.

Define, evaluate, and compare functions.

Extend the domain of trigonometric functions using the unit circle.

Analyze functions using different representations.

Construct and compare linear and exponential models and solve problems.

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

Build new functions from existing functions.

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

Understand the concept of a function and use function notation.

Prove and apply trigonometric identities.

Use functions to model relationships between quantities.

Model periodic phenomena with trigonometric functions.
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: 9