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

Model periodic phenomena with trigonometric functions.

Understand the concept of a function and use function notation.

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

Build a function that models a relationship between two quantities.

Analyze functions using different representations.

Prove and apply trigonometric identities.

Construct and compare linear and exponential models and solve problems.

Use functions to model relationships between quantities.

Extend the domain of trigonometric functions using the unit circle.

Define, evaluate, and compare functions.

Build new functions from existing functions.
problem_activity: Samantha found the slope of the line that passed through the points
$${(2, 6)}$$
and
$${(-4, 8)}$$
. Her work is shown below.
$${{8-6\over {2-(-4)}} = {2\over 2+4 }= {2\over 6} = {1\over3}}$$
Samantha made an error in her work. Describe the error and then find the correct slope of the line through the two given points.


correct_option_index: 8