options: Model periodic phenomena with trigonometric functions.

Construct and compare linear and exponential models and solve problems.

Build a function that models a relationship between two quantities.

Prove and apply trigonometric identities.

Build new functions from existing functions.

Understand the concept of a function and use function notation.

Extend the domain of trigonometric functions using the unit circle.

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

Analyze functions using different representations.

Define, evaluate, and compare functions.

Use functions to model relationships between quantities.

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