options: Use functions to model relationships between quantities.

Analyze functions using different representations.

Extend the domain of trigonometric functions using the unit circle.

Construct and compare linear and exponential models and solve problems.

Build a function that models a relationship between two quantities.

Model periodic phenomena with trigonometric functions.

Define, evaluate, and compare 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.

Build new functions from existing functions.

Interpret functions that arise in applications in terms of the context.
problem_activity: Potassium-40 has a half-life of
$${1.28\times 10^9}$$
years, which means that after that many years, half of a sample has decayed into a different isotope of carbon. If a sample began with
$${115}$$
grams of potassium-40
$${30,000,000}$$
years ago, how much is left today? How long will it be until there are only
$${50}$$
grams remaining?


correct_option_index: 3